57580432 has 80 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 22417920.

The previous prime is 57580427. The next prime is 57580459. The reversal of 57580432 is 23408575.

It is a happy number.

It is a super-2 number, since 2×57580432² = 6631012298613248, which contains 22 as substring.

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, 103098 + ... + 103654.

Almost surely, 2^57580432 is an apocalyptic number.

57580432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57580432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536).

57580432 is an abundant number, since it is smaller than the sum of its proper divisors (81910640).

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

57580432 is a wasteful number, since it uses less digits than its factorization.

57580432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 57580432 is about 7588.1771197040. The cubic root of 57580432 is about 386.1520157957.

The spelling of 57580432 in words is "fifty-seven million, five hundred eighty thousand, four hundred thirty-two".