57336240 has 320 divisors, whose sum is σ = 215986176. Its totient is φ = 12435456.

The previous prime is 57336233. The next prime is 57336269. The reversal of 57336240 is 4263375.

57336240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 57336198 and 57336207.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1105 × 47 × 1104.

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 63 ways as a sum of consecutive naturals, for example, 1219897 + ... + 1219943.

Almost surely, 2^57336240 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 57336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

57336240 is an abundant number, since it is smaller than the sum of its proper divisors (158649936).

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

57336240 is a wasteful number, since it uses less digits than its factorization.

57336240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 57336240 is about 7572.0697302653. The cubic root of 57336240 is about 385.6053668554.

The spelling of 57336240 in words is "fifty-seven million, three hundred thirty-six thousand, two hundred forty".