57640440 has 128 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 12894720.

The previous prime is 57640417. The next prime is 57640447. The reversal of 57640440 is 4404675.

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 = 57640398 and 57640407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57640447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15481 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^57640440 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 57640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

57640440 is an abundant number, since it is smaller than the sum of its proper divisors (145572360).

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

57640440 is a wasteful number, since it uses less digits than its factorization.

57640440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 57640440 is about 7592.1301358710. The cubic root of 57640440 is about 386.2861132330.

The spelling of 57640440 in words is "fifty-seven million, six hundred forty thousand, four hundred forty".