57640880 has 80 divisors (see below), whose sum is σ = 154838304. Its totient is φ = 19722240.

The previous prime is 57640871. The next prime is 57640901. The reversal of 57640880 is 8804675.

It is a tau number, because it is divible by the number of its divisors (80).

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, 13034 + ... + 16886.

Almost surely, 2^57640880 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 57640880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77419152).

57640880 is an abundant number, since it is smaller than the sum of its proper divisors (97197424).

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

57640880 is a wasteful number, since it uses less digits than its factorization.

57640880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 57640880 is about 7592.1591131904. The cubic root of 57640880 is about 386.2870961393.

The spelling of 57640880 in words is "fifty-seven million, six hundred forty thousand, eight hundred eighty".