57677440 has 32 divisors (see below), whose sum is σ = 137886660. Its totient is φ = 23070720.

The previous prime is 57677437. The next prime is 57677441. The reversal of 57677440 is 4477675.

It can be written as a sum of positive squares in 2 ways, for example, as 53114944 + 4562496 = 7288^2 + 2136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57677393 and 57677402.

It is not an unprimeable number, because it can be changed into a prime (57677441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44421 + ... + 45700.

Almost surely, 2^57677440 is an apocalyptic number.

It is an amenable number.

57677440 is an abundant number, since it is smaller than the sum of its proper divisors (80209220).

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

57677440 is an equidigital number, since it uses as much as digits as its factorization.

57677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90140 (or 90128 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The square root of 57677440 is about 7594.5664787399. The cubic root of 57677440 is about 386.3687492497.

The spelling of 57677440 in words is "fifty-seven million, six hundred seventy-seven thousand, four hundred forty".