57676680 has 96 divisors (see below), whose sum is σ = 189034560. Its totient is φ = 15250560.

The previous prime is 57676657. The next prime is 57676681. The reversal of 57676680 is 8667675.

57676680 is a `hidden beast` number, since 576 + 76 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57676681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46549 + ... + 47771.

It is an arithmetic number, because the mean of its divisors is an integer number (1969110).

Almost surely, 2^57676680 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 57676680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94517280).

57676680 is an abundant number, since it is smaller than the sum of its proper divisors (131357880).

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

57676680 is a wasteful number, since it uses less digits than its factorization.

57676680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1364 counting only the distinct ones).

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

The square root of 57676680 is about 7594.5164428027. The cubic root of 57676680 is about 386.3670522168.

The spelling of 57676680 in words is "fifty-seven million, six hundred seventy-six thousand, six hundred eighty".