57566432 has 96 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 22003200.

The previous prime is 57566429. The next prime is 57566449. The reversal of 57566432 is 23466575.

57566432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150113 + ... + 150495.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^57566432 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 57566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

57566432 is an abundant number, since it is smaller than the sum of its proper divisors (86424352).

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

57566432 is a wasteful number, since it uses less digits than its factorization.

57566432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 57566432 is about 7587.2545759319. The cubic root of 57566432 is about 386.1207171627.

The spelling of 57566432 in words is "fifty-seven million, five hundred sixty-six thousand, four hundred thirty-two".