580992 has 64 divisors (see below), whose sum is σ = 1652400. Its totient is φ = 180224.

The previous prime is 580981. The next prime is 580997. The reversal of 580992 is 299085.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 580992.

It is not an unprimeable number, because it can be changed into a prime (580997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6484 + ... + 6572.

2⁵⁸⁰⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826200).

580992 is an abundant number, since it is smaller than the sum of its proper divisors (1071408).

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

580992 is a wasteful number, since it uses less digits than its factorization.

580992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 580992 is about 762.2283122530. The cubic root of 580992 is about 83.4430270995.

The spelling of 580992 in words is "five hundred eighty thousand, nine hundred ninety-two".