57344160 has 96 divisors (see below), whose sum is σ = 181863360. Its totient is φ = 15187968.

The previous prime is 57344149. The next prime is 57344173. The reversal of 57344160 is 6144375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57344160² = 6576705372211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 92331 + ... + 92949.

It is an arithmetic number, because the mean of its divisors is an integer number (1894410).

Almost surely, 2^57344160 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 57344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90931680).

57344160 is an abundant number, since it is smaller than the sum of its proper divisors (124519200).

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

57344160 is a wasteful number, since it uses less digits than its factorization.

57344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

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

The square root of 57344160 is about 7572.5926867883. The cubic root of 57344160 is about 385.6231209198.

The spelling of 57344160 in words is "fifty-seven million, three hundred forty-four thousand, one hundred sixty".