57509640 has 96 divisors (see below), whose sum is σ = 197921880. Its totient is φ = 14432256.

The previous prime is 57509609. The next prime is 57509653. The reversal of 57509640 is 4690575.

57509640 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 9 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35212356 + 22297284 = 5934^2 + 4722^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 57509595 and 57509604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422 + ... + 10818.

Almost surely, 2^57509640 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 57509640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960940).

57509640 is an abundant number, since it is smaller than the sum of its proper divisors (140412240).

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

57509640 is a wasteful number, since it uses less digits than its factorization.

57509640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57509640 is about 7583.5110601884. The cubic root of 57509640 is about 385.9936999518.

The spelling of 57509640 in words is "fifty-seven million, five hundred nine thousand, six hundred forty".