57986880 has 112 divisors (see below), whose sum is σ = 210433920. Its totient is φ = 13252608.

The previous prime is 57986867. The next prime is 57986939. The reversal of 57986880 is 8868975.

It is a happy number.

57986880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406 + ... + 11034.

Almost surely, 2^57986880 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 57986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105216960).

57986880 is an abundant number, since it is smaller than the sum of its proper divisors (152447040).

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

57986880 is a wasteful number, since it uses less digits than its factorization.

57986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656 (or 8646 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 57986880 is about 7614.9116869469. The cubic root of 57986880 is about 387.0584745620.

The spelling of 57986880 in words is "fifty-seven million, nine hundred eighty-six thousand, eight hundred eighty".