57982560 has 96 divisors (see below), whose sum is σ = 184433760. Its totient is φ = 15310848.

The previous prime is 57982559. The next prime is 57982577. The reversal of 57982560 is 6528975.

It is a tau number, because it is divible by the number of its divisors (96).

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, 53706 + ... + 54774.

It is an arithmetic number, because the mean of its divisors is an integer number (1921185).

Almost surely, 2^57982560 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 57982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92216880).

57982560 is an abundant number, since it is smaller than the sum of its proper divisors (126451200).

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

57982560 is a wasteful number, since it uses less digits than its factorization.

57982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 57982560 is about 7614.6280276846. The cubic root of 57982560 is about 387.0488624214.

The spelling of 57982560 in words is "fifty-seven million, nine hundred eighty-two thousand, five hundred sixty".