57654720 has 112 divisors (see below), whose sum is σ = 203423520. Its totient is φ = 15372288.

The previous prime is 57654719. The next prime is 57654731. The reversal of 57654720 is 2745675.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304 + ... + 11976.

Almost surely, 2^57654720 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 57654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101711760).

57654720 is an abundant number, since it is smaller than the sum of its proper divisors (145768800).

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

57654720 is a wasteful number, since it uses less digits than its factorization.

57654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57654720 is about 7593.0705251565. The cubic root of 57654720 is about 386.3180104579.

The spelling of 57654720 in words is "fifty-seven million, six hundred fifty-four thousand, seven hundred twenty".