57568880 has 40 divisors (see below), whose sum is σ = 135556800. Its totient is φ = 22733568.

The previous prime is 57568877. The next prime is 57568921. The reversal of 57568880 is 8886575.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 1766 + ... + 10874.

It is an arithmetic number, because the mean of its divisors is an integer number (3388920).

Almost surely, 2^57568880 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 57568880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67778400).

57568880 is an abundant number, since it is smaller than the sum of its proper divisors (77987920).

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

57568880 is a wasteful number, since it uses less digits than its factorization.

57568880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9195 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The square root of 57568880 is about 7587.4158973922. The cubic root of 57568880 is about 386.1261903183.

The spelling of 57568880 in words is "fifty-seven million, five hundred sixty-eight thousand, eight hundred eighty".