57656144 has 60 divisors (see below), whose sum is σ = 139967604. Its totient is φ = 22804992.

The previous prime is 57656119. The next prime is 57656149. The reversal of 57656144 is 44165675.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 50580544 = 2660^2 + 7112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57656098 and 57656107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57656149) 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, 7364 + ... + 13020.

Almost surely, 2^57656144 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 57656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69983802).

57656144 is an abundant number, since it is smaller than the sum of its proper divisors (82311460).

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

57656144 is a wasteful number, since it uses less digits than its factorization.

57656144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5679 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 57656144 is about 7593.1642942847. The cubic root of 57656144 is about 386.3211909568.

The spelling of 57656144 in words is "fifty-seven million, six hundred fifty-six thousand, one hundred forty-four".