57344560 has 80 divisors (see below), whose sum is σ = 164114496. Its totient is φ = 18146304.

The previous prime is 57344531. The next prime is 57344591. The reversal of 57344560 is 6544375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 11218.

Almost surely, 2^57344560 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 57344560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82057248).

57344560 is an abundant number, since it is smaller than the sum of its proper divisors (106769936).

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

57344560 is a wasteful number, since it uses less digits than its factorization.

57344560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7910 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 57344560 is about 7572.6190977759. The cubic root of 57344560 is about 385.6240175464.

The spelling of 57344560 in words is "fifty-seven million, three hundred forty-four thousand, five hundred sixty".