57977856 has 132 divisors (see below), whose sum is σ = 174355272. Its totient is φ = 19243008.

The previous prime is 57977851. The next prime is 57977861. The reversal of 57977856 is 65877975.

It is an interprime number because it is at equal distance from previous prime (57977851) and next prime (57977861).

It is a super-2 number, since 2×57977856² = 6722863572713472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57977851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248716 + ... + 248948.

Almost surely, 2^57977856 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 57977856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87177636).

57977856 is an abundant number, since it is smaller than the sum of its proper divisors (116377416).

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

57977856 is an equidigital number, since it uses as much as digits as its factorization.

57977856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The square root of 57977856 is about 7614.3191422477. The cubic root of 57977856 is about 387.0383953252.

The spelling of 57977856 in words is "fifty-seven million, nine hundred seventy-seven thousand, eight hundred fifty-six".