57580944 has 60 divisors (see below), whose sum is σ = 157039056. Its totient is φ = 18177984.

The previous prime is 57580931. The next prime is 57580993. The reversal of 57580944 is 44908575.

It is a super-2 number, since 2×57580944² = 6631130223862272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57580896 and 57580905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15667 + ... + 18989.

Almost surely, 2^57580944 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 57580944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78519528).

57580944 is an abundant number, since it is smaller than the sum of its proper divisors (99458112).

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

57580944 is a wasteful number, since it uses less digits than its factorization.

57580944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 57580944 is about 7588.2108563218. The cubic root of 57580944 is about 386.1531603353.

The spelling of 57580944 in words is "fifty-seven million, five hundred eighty thousand, nine hundred forty-four".