57306432 has 112 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 17284608.

The previous prime is 57306421. The next prime is 57306433. The reversal of 57306432 is 23460375.

It is a self number, because there is not a number n which added to its sum of digits gives 57306432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57306433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83563 + ... + 84245.

Almost surely, 2^57306432 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 57306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

57306432 is an abundant number, since it is smaller than the sum of its proper divisors (109480128).

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

57306432 is a wasteful number, since it uses less digits than its factorization.

57306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 57306432 is about 7570.1011882273. The cubic root of 57306432 is about 385.5385323530.

The spelling of 57306432 in words is "fifty-seven million, three hundred six thousand, four hundred thirty-two".