57260736 has 112 divisors (see below), whose sum is σ = 181356000. Its totient is φ = 17611776.

The previous prime is 57260717. The next prime is 57260767. The reversal of 57260736 is 63706275.

It is a happy number.

57260736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57260736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21190 + ... + 23738.

It is an arithmetic number, because the mean of its divisors is an integer number (1619250).

Almost surely, 2^57260736 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 57260736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90678000).

57260736 is an abundant number, since it is smaller than the sum of its proper divisors (124095264).

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

57260736 is a wasteful number, since it uses less digits than its factorization.

57260736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 57260736 is about 7567.0823968026. The cubic root of 57260736 is about 385.4360292949.

The spelling of 57260736 in words is "fifty-seven million, two hundred sixty thousand, seven hundred thirty-six".