57837640 has 96 divisors (see below), whose sum is σ = 158086080. Its totient is φ = 18953088.

The previous prime is 57837631. The next prime is 57837649. The reversal of 57837640 is 4673875.

It is an interprime number because it is at equal distance from previous prime (57837631) and next prime (57837649).

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 = 57837593 and 57837602.

It is not an unprimeable number, because it can be changed into a prime (57837649) 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, 44439 + ... + 45721.

It is an arithmetic number, because the mean of its divisors is an integer number (1646730).

Almost surely, 2^57837640 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 57837640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79043040).

57837640 is an abundant number, since it is smaller than the sum of its proper divisors (100248440).

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

57837640 is a wasteful number, since it uses less digits than its factorization.

57837640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 57837640 is about 7605.1061794034. The cubic root of 57837640 is about 386.7261336733.

The spelling of 57837640 in words is "fifty-seven million, eight hundred thirty-seven thousand, six hundred forty".