57756240 has 120 divisors (see below), whose sum is σ = 201216288. Its totient is φ = 15396480.

The previous prime is 57756239. The next prime is 57756271. The reversal of 57756240 is 4265775.

57756240 is a `hidden beast` number, since 57 + 7 + 562 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 57756195 and 57756204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17955 + ... + 20925.

Almost surely, 2^57756240 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 57756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100608144).

57756240 is an abundant number, since it is smaller than the sum of its proper divisors (143460048).

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

57756240 is a wasteful number, since it uses less digits than its factorization.

57756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

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

The square root of 57756240 is about 7599.7526275531. The cubic root of 57756240 is about 386.5446239229.

The spelling of 57756240 in words is "fifty-seven million, seven hundred fifty-six thousand, two hundred forty".