overflow

To overflow is to spill over the edge because there is too much inside. A bath, a river, a bin on a Monday.

It works with or without an object, so a river overflows and a river overflows its banks. As a noun an overflow is the pipe or opening that lets excess escape safely, which is why a sink has one near the rim. There is a figurative use about feeling, since overflowing with gratitude means having more than you can contain. Computing has a technical overflow when a number exceeds its space.