580960 has 24 divisors (see below), whose sum is σ = 1372896. Its totient is φ = 232320.

The previous prime is 580939. The next prime is 580969. The reversal of 580960 is 69085.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1656 + ... + 1975.

It is an arithmetic number, because the mean of its divisors is an integer number (57204).

2⁵⁸⁰⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

580960 is an abundant number, since it is smaller than the sum of its proper divisors (791936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

580960 is a wasteful number, since it uses less digits than its factorization.

580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 580960 is about 762.2073208780. The cubic root of 580960 is about 83.4414951072.

It can be divided in two parts, 580 and 960, that added together give a triangular number (1540 = T₅₅).

The spelling of 580960 in words is "five hundred eighty thousand, nine hundred sixty".