57506436 has 168 divisors, whose sum is σ = 170953944. Its totient is φ = 16796160.

The previous prime is 57506413. The next prime is 57506441. The reversal of 57506436 is 63460575.

57506436 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 643 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1166400 + 56340036 = 1080^2 + 7506^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 57506436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1402576 + ... + 1402616.

It is an arithmetic number, because the mean of its divisors is an integer number (1017583).

Almost surely, 2^57506436 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 57506436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85476972).

57506436 is an abundant number, since it is smaller than the sum of its proper divisors (113447508).

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

57506436 is a wasteful number, since it uses less digits than its factorization.

57506436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 57506436 is about 7583.2998094497. The cubic root of 57506436 is about 385.9865316070.

The spelling of 57506436 in words is "fifty-seven million, five hundred six thousand, four hundred thirty-six".