57768560 has 40 divisors (see below), whose sum is σ = 134763696. Its totient is φ = 23029760.

The previous prime is 57768559. The next prime is 57768577. The reversal of 57768560 is 6586775.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×57768560³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26720 + ... + 28800.

Almost surely, 2^57768560 is an apocalyptic number.

It is an amenable number.

57768560 is an abundant number, since it is smaller than the sum of its proper divisors (76995136).

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

57768560 is a wasteful number, since it uses less digits than its factorization.

57768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 57768560 is about 7600.5631370314. The cubic root of 57768560 is about 386.5721066168.

The spelling of 57768560 in words is "fifty-seven million, seven hundred sixty-eight thousand, five hundred sixty".