I find that for a sort while at least I can remember a pitch. Even hours later, I can get back to a pitch that I've heard. Not perfect pitch, but more than relative pitch.

When I was young, we lived in a house where the upstairs toilet room had a standing wave which was exactly A=440, or a multiple/fraction thereof. So I could always find A by humming in the loo, and could remember it for some hours afterwards, and use it to find any other note.