580796160 has 576 divisors, whose sum is σ = 2373525504. Its totient is φ = 117964800.

The previous prime is 580796147. The next prime is 580796173. The reversal of 580796160 is 61697085.

It is an interprime number because it is at equal distance from previous prime (580796147) and next prime (580796173).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165740 + ... + 14165780.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 2^580796160 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 580796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186762752).

580796160 is an abundant number, since it is smaller than the sum of its proper divisors (1792729344).

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

580796160 is a wasteful number, since it uses less digits than its factorization.

580796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 580796160 is about 24099.7128613600. The cubic root of 580796160 is about 834.3365042487.

The spelling of 580796160 in words is "five hundred eighty million, seven hundred ninety-six thousand, one hundred sixty".