57121344 has 168 divisors, whose sum is σ = 193576448. Its totient is φ = 15759360.

The previous prime is 57121307. The next prime is 57121367. The reversal of 57121344 is 44312175.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124764 + ... + 125220.

Almost surely, 2^57121344 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 57121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96788224).

57121344 is an abundant number, since it is smaller than the sum of its proper divisors (136455104).

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

57121344 is a wasteful number, since it uses less digits than its factorization.

57121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 500 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 57121344 is about 7557.8663655823. The cubic root of 57121344 is about 385.1230146062.

It can be divided in two parts, 5712 and 1344, that added together give a square (7056 = 84²).

The spelling of 57121344 in words is "fifty-seven million, one hundred twenty-one thousand, three hundred forty-four".