57408736 has 96 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 21373440.

The previous prime is 57408731. The next prime is 57408739. The reversal of 57408736 is 63780475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57408731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56166 + ... + 57178.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^57408736 is an apocalyptic number.

57408736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

57408736 is an abundant number, since it is smaller than the sum of its proper divisors (89775392).

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

57408736 is a wasteful number, since it uses less digits than its factorization.

57408736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

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

The square root of 57408736 is about 7576.8552843512. The cubic root of 57408736 is about 385.7678183456.

The spelling of 57408736 in words is "fifty-seven million, four hundred eight thousand, seven hundred thirty-six".