580982160 has 240 divisors, whose sum is σ = 2039065920. Its totient is φ = 135705600.

The previous prime is 580982153. The next prime is 580982161. The reversal of 580982160 is 61289085.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (580982161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2536926 + ... + 2537154.

It is an arithmetic number, because the mean of its divisors is an integer number (8496108).

Almost surely, 2^580982160 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 580982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019532960).

580982160 is an abundant number, since it is smaller than the sum of its proper divisors (1458083760).

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

580982160 is a wasteful number, since it uses less digits than its factorization.

580982160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 580982160 is about 24103.5715195902. The cubic root of 580982160 is about 834.4255601787.

The spelling of 580982160 in words is "five hundred eighty million, nine hundred eighty-two thousand, one hundred sixty".