57946560 has 112 divisors (see below), whose sum is σ = 210287616. Its totient is φ = 13243392.

The previous prime is 57946531. The next prime is 57946573. The reversal of 57946560 is 6564975.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (1877568).

Almost surely, 2^57946560 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 57946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105143808).

57946560 is an abundant number, since it is smaller than the sum of its proper divisors (152341056).

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

57946560 is a wasteful number, since it uses less digits than its factorization.

57946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8640 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 57946560 is about 7612.2637894387. The cubic root of 57946560 is about 386.9687426764.

The spelling of 57946560 in words is "fifty-seven million, nine hundred forty-six thousand, five hundred sixty".