57568480 has 96 divisors (see below), whose sum is σ = 148327200. Its totient is φ = 21030912.

The previous prime is 57568463. The next prime is 57568501. The reversal of 57568480 is 8486575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87834 + ... + 88486.

It is an arithmetic number, because the mean of its divisors is an integer number (1545075).

Almost surely, 2^57568480 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 57568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74163600).

57568480 is an abundant number, since it is smaller than the sum of its proper divisors (90758720).

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

57568480 is a wasteful number, since it uses less digits than its factorization.

57568480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 57568480 is about 7587.3895379109. The cubic root of 57568480 is about 386.1252960225.

The spelling of 57568480 in words is "fifty-seven million, five hundred sixty-eight thousand, four hundred eighty".