57676320 has 288 divisors, whose sum is σ = 221356800. Its totient is φ = 14017536.

The previous prime is 57676319. The next prime is 57676327. The reversal of 57676320 is 2367675.

It is a happy number.

57676320 is a `hidden beast` number, since 576 + 7 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (57676327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730041 + ... + 730119.

It is an arithmetic number, because the mean of its divisors is an integer number (768600).

Almost surely, 2^57676320 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 57676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

57676320 is an abundant number, since it is smaller than the sum of its proper divisors (163680480).

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

57676320 is a wasteful number, since it uses less digits than its factorization.

57676320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57676320 is about 7594.4927414542. The cubic root of 57676320 is about 386.3662483539.

The spelling of 57676320 in words is "fifty-seven million, six hundred seventy-six thousand, three hundred twenty".