580213632 has 128 divisors (see below), whose sum is σ = 1596218400. Its totient is φ = 186613760.

The previous prime is 580213619. The next prime is 580213651. The reversal of 580213632 is 236312085.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 580213632.

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, 2156794 + ... + 2157062.

Almost surely, 2^580213632 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 580213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798109200).

580213632 is an abundant number, since it is smaller than the sum of its proper divisors (1016004768).

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

580213632 is a wasteful number, since it uses less digits than its factorization.

580213632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 580213632 is about 24087.6240422338. The cubic root of 580213632 is about 834.0574694855.

The spelling of 580213632 in words is "five hundred eighty million, two hundred thirteen thousand, six hundred thirty-two".