57065760 has 144 divisors (see below), whose sum is σ = 203321664. Its totient is φ = 14547456.

The previous prime is 57065741. The next prime is 57065819. The reversal of 57065760 is 6756075.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 32259 + ... + 33981.

It is an arithmetic number, because the mean of its divisors is an integer number (1411956).

Almost surely, 2^57065760 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 57065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101660832).

57065760 is an abundant number, since it is smaller than the sum of its proper divisors (146255904).

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

57065760 is a wasteful number, since it uses less digits than its factorization.

57065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 57065760 is about 7554.1882422931. The cubic root of 57065760 is about 384.9980547493.

The spelling of 57065760 in words is "fifty-seven million, sixty-five thousand, seven hundred sixty".