56580352 has 36 divisors (see below), whose sum is σ = 119592396. Its totient is φ = 26624000.

The previous prime is 56580331. The next prime is 56580371. The reversal of 56580352 is 25308565.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 38738176 = 4224^2 + 6224^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2149 + ... + 10852.

It is an arithmetic number, because the mean of its divisors is an integer number (3322011).

Almost surely, 2^56580352 is an apocalyptic number.

It is an amenable number.

56580352 is an abundant number, since it is smaller than the sum of its proper divisors (63012044).

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

56580352 is a wasteful number, since it uses less digits than its factorization.

56580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 56580352 is about 7521.9912257327. The cubic root of 56580352 is about 383.9033321484.

The spelling of 56580352 in words is "fifty-six million, five hundred eighty thousand, three hundred fifty-two".