57386880 has 256 divisors, whose sum is σ = 210772800. Its totient is φ = 14929920.

The previous prime is 57386873. The next prime is 57386891. The reversal of 57386880 is 8868375.

57386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57386880² = 6586507992268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 6.

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 31 ways as a sum of consecutive naturals, for example, 1399660 + ... + 1399700.

Almost surely, 2^57386880 is an apocalyptic number.

57386880 is the 4374-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105386400).

57386880 is an abundant number, since it is smaller than the sum of its proper divisors (153385920).

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

57386880 is an frugal number, since it uses more digits than its factorization.

57386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 57386880 is about 7575.4128600361. The cubic root of 57386880 is about 385.7188570887.

The spelling of 57386880 in words is "fifty-seven million, three hundred eighty-six thousand, eight hundred eighty".