57668760 has 192 divisors, whose sum is σ = 206388000. Its totient is φ = 14432256.

The previous prime is 57668753. The next prime is 57668789. The reversal of 57668760 is 6786675.

57668760 is a `hidden beast` number, since 576 + 6 + 8 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165066 + ... + 165414.

Almost surely, 2^57668760 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 57668760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

57668760 is an abundant number, since it is smaller than the sum of its proper divisors (148719240).

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

57668760 is a wasteful number, since it uses less digits than its factorization.

57668760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 57668760 is about 7593.9949960479. The cubic root of 57668760 is about 386.3493664605.

The spelling of 57668760 in words is "fifty-seven million, six hundred sixty-eight thousand, seven hundred sixty".