57906432 has 108 divisors (see below), whose sum is σ = 171309684. Its totient is φ = 18800640.

The previous prime is 57906383. The next prime is 57906439. The reversal of 57906432 is 23460975.

57906432 is a `hidden beast` number, since 5 + 7 + 9 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 56791296 = 1056^2 + 7536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57906439) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94158 + ... + 94770.

Almost surely, 2^57906432 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 57906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85654842).

57906432 is an abundant number, since it is smaller than the sum of its proper divisors (113403252).

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

57906432 is a wasteful number, since it uses less digits than its factorization.

57906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57906432 is about 7609.6275861569. The cubic root of 57906432 is about 386.8793967484.

The spelling of 57906432 in words is "fifty-seven million, nine hundred six thousand, four hundred thirty-two".