57516336 has 60 divisors (see below), whose sum is σ = 162247800. Its totient is φ = 19019520.

The previous prime is 57516323. The next prime is 57516341. The reversal of 57516336 is 63361575.

It is a happy number.

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 57516336.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17340 + ... + 20388.

It is an arithmetic number, because the mean of its divisors is an integer number (2704130).

Almost surely, 2^57516336 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 57516336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81123900).

57516336 is an abundant number, since it is smaller than the sum of its proper divisors (104731464).

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

57516336 is a wasteful number, since it uses less digits than its factorization.

57516336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3185 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 57516336 is about 7583.9525314970. The cubic root of 57516336 is about 386.0086801273.

The spelling of 57516336 in words is "fifty-seven million, five hundred sixteen thousand, three hundred thirty-six".