57360144 has 80 divisors (see below), whose sum is σ = 155347200. Its totient is φ = 18213888.

The previous prime is 57360143. The next prime is 57360181. The reversal of 57360144 is 44106375.

It is a super-2 number, since 2×57360144² = 6580372239401472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57360143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123657 + ... + 124119.

It is an arithmetic number, because the mean of its divisors is an integer number (1941840).

Almost surely, 2^57360144 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 57360144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77673600).

57360144 is an abundant number, since it is smaller than the sum of its proper divisors (97987056).

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

57360144 is a wasteful number, since it uses less digits than its factorization.

57360144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 57360144 is about 7573.6479981578. The cubic root of 57360144 is about 385.6589468718.

The spelling of 57360144 in words is "fifty-seven million, three hundred sixty thousand, one hundred forty-four".