57815040 has 104 divisors (see below), whose sum is σ = 185182128. Its totient is φ = 15400960.

The previous prime is 57814993. The next prime is 57815041. The reversal of 57815040 is 4051875.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57814989 and 57815007.

It is not an unprimeable number, because it can be changed into a prime (57815041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60970 + ... + 61910.

Almost surely, 2^57815040 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 57815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92591064).

57815040 is an abundant number, since it is smaller than the sum of its proper divisors (127367088).

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

57815040 is an equidigital number, since it uses as much as digits as its factorization.

57815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57815040 is about 7603.6201904093. The cubic root of 57815040 is about 386.6757561610.

The spelling of 57815040 in words is "fifty-seven million, eight hundred fifteen thousand, forty".