57580032 has 80 divisors (see below), whose sum is σ = 161552160. Its totient is φ = 18173952.

The previous prime is 57580027. The next prime is 57580043. The reversal of 57580032 is 23008575.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28198 + ... + 30170.

It is an arithmetic number, because the mean of its divisors is an integer number (2019402).

Almost surely, 2^57580032 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 57580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80776080).

57580032 is an abundant number, since it is smaller than the sum of its proper divisors (103972128).

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

57580032 is a wasteful number, since it uses less digits than its factorization.

57580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57580032 is about 7588.1507628671. The cubic root of 57580032 is about 386.1511216195.

The spelling of 57580032 in words is "fifty-seven million, five hundred eighty thousand, thirty-two".