The Number You Have Reached by Thomas M. Disch

The Number You Have Reached by Thomas M. Disch (SF Impulse #12, February 1967) begins with a man called Justin on the fourteenth floor of a deserted tower block. He is obviously stressed and inadvertently tears the bannister off his landing, watching it fall to the ground below. The next day sees Justin move boxes of canned food and books from the lobby up to his apartment, while doing some OCD number counting (there are 198 steps, and there are various other arithmetical episodes throughout the tale). The impression given is that this is a ‘last man on Earth’ piece.
Justin then receives a phonecall from a woman. During their conversation we learn that he is an ex-astronaut, his (dead) wife’s name is Lidia, and that he isn’t sure whether or not the woman calling him is real or whether he is going mad. Later we learn that her name is Justine, so what with (a) the feminine form of his name (b) the fact he hasn’t spoken to anyone in a very long time, and (c) all the counting—more likely the madness.
Further conversations see Justine accuse Justin of being responsible for the apocalypse:

“What about the millions—”
“The millions?” he interrupted her.
“—of dead,” she said. “All of them dead. Everyone dead. Because of you and the others like you. The football captains and the soldiers and all the other heroes.”
“I didn’t do it. I wasn’t even here when it happened. You can’t blame me.”
“Well, I am blaming you, baby. Because if you’d been ordered to, you would have done it. You’d do it now—when there’s just the two of us left. Because somewhere deep in your atrophied soul you want to.”
“You’d know that territory better than me. You grew up there.”
“You think I don’t exist? Maybe you think the others didn’t exist either? Lidia—and all the millions of others.”
“It’s funny you should say that.”
She was ominously quiet.
He went on, intrigued by the novelty of the idea. “That’s how it feels in space. It’s more beautiful than anything else there is. You’re alone in the ship, and even if you’re not alone you can’t see the others. You can see the dials and the millions of stars on the screen in front of you and you can hear the voices through the earphones, but that’s as far as it goes. You begin to think that the others don’t exist.”
“You know what you should do?” she said.
“What?”
“Go jump in the lake.”  p. 163 (World’s Best Science Fiction 1968, edited by Donald A. Wollheim & Terry Carr)

After some more background material about the automated world continuing on after the neutron bomb war, Justine phones him again and says she is coming over. When she (supposedly) knocks on the door (spoiler), he jumps off the balcony.
This isn’t badly done, but a ‘last man’ story which ends with a suicide makes for pretty pointless and nihilistic reading. Very new wave.
* (Mediocre). 3,350 words.