57515040 has 144 divisors (see below), whose sum is σ = 214171776. Its totient is φ = 13939200.

The previous prime is 57515023. The next prime is 57515047. The reversal of 57515040 is 4051575.

57515040 is a `hidden beast` number, since 575 + 1 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 57514995 and 57515013.

It is not an unprimeable number, because it can be changed into a prime (57515047) 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, 14025 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (1487304).

Almost surely, 2^57515040 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 57515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107085888).

57515040 is an abundant number, since it is smaller than the sum of its proper divisors (156656736).

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

57515040 is a wasteful number, since it uses less digits than its factorization.

57515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 57515040 is about 7583.8670874429. The cubic root of 57515040 is about 386.0057808292.

The spelling of 57515040 in words is "fifty-seven million, five hundred fifteen thousand, forty".