57506304 has 80 divisors (see below), whose sum is σ = 158605920. Its totient is φ = 18493440.

The previous prime is 57506299. The next prime is 57506321. The reversal of 57506304 is 40360575.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43899 + ... + 45189.

It is an arithmetic number, because the mean of its divisors is an integer number (1982574).

Almost surely, 2^57506304 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 57506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79302960).

57506304 is an abundant number, since it is smaller than the sum of its proper divisors (101099616).

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

57506304 is a wasteful number, since it uses less digits than its factorization.

57506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57506304 is about 7583.2911061095. The cubic root of 57506304 is about 385.9862362762.

Adding to 57506304 its reverse (40360575), we get a palindrome (97866879).

The spelling of 57506304 in words is "fifty-seven million, five hundred six thousand, three hundred four".