57676740 has 96 divisors (see below), whose sum is σ = 181923840. Its totient is φ = 13526400.

The previous prime is 57676727. The next prime is 57676741. The reversal of 57676740 is 4767675.

57676740 = 63² + 64² + ... + 557².

It is a junction number, because it is equal to n+sod(n) for n = 57676692 and 57676701.

It is not an unprimeable number, because it can be changed into a prime (57676741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19051 + ... + 21869.

It is an arithmetic number, because the mean of its divisors is an integer number (1895040).

Almost surely, 2^57676740 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 57676740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90961920).

57676740 is an abundant number, since it is smaller than the sum of its proper divisors (124247100).

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

57676740 is a wasteful number, since it uses less digits than its factorization.

57676740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 57676740 is about 7594.5203930202. The cubic root of 57676740 is about 386.3671861937.

The spelling of 57676740 in words is "fifty-seven million, six hundred seventy-six thousand, seven hundred forty".