580612564 has 48 divisors (see below), whose sum is σ = 1247344000. Its totient is φ = 235726848.

The previous prime is 580612523. The next prime is 580612607. The reversal of 580612564 is 465216085.

580612564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×580612564² = 674221898949308192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14932 + ... + 37204.

Almost surely, 2^580612564 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 580612564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623672000).

580612564 is an abundant number, since it is smaller than the sum of its proper divisors (666731436).

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

580612564 is a wasteful number, since it uses less digits than its factorization.

580612564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22317 (or 22301 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 580612564 is about 24095.9034692622. The cubic root of 580612564 is about 834.2485806943.

The spelling of 580612564 in words is "five hundred eighty million, six hundred twelve thousand, five hundred sixty-four".