57919680 has 504 divisors, whose sum is σ = 261042912. Its totient is φ = 11501568.

The previous prime is 57919679. The next prime is 57919703. The reversal of 57919680 is 8691975.

57919680 is a `hidden beast` number, since 579 + 19 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3407032 + ... + 3407048.

Almost surely, 2^57919680 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 57919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130521456).

57919680 is an abundant number, since it is smaller than the sum of its proper divisors (203123232).

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

57919680 is a wasteful number, since it uses less digits than its factorization.

57919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 57919680 is about 7610.4980126139. The cubic root of 57919680 is about 386.9088982923.

The spelling of 57919680 in words is "fifty-seven million, nine hundred nineteen thousand, six hundred eighty".