57560544 has 120 divisors (see below), whose sum is σ = 172889640. Its totient is φ = 18779904.

The previous prime is 57560539. The next prime is 57560549. The reversal of 57560544 is 44506575.

It is a happy number.

57560544 is a `hidden beast` number, since 5 + 7 + 5 + 605 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (57560539) and next prime (57560549).

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 = 57560499 and 57560508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57560549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137167 + ... + 137585.

It is an arithmetic number, because the mean of its divisors is an integer number (1440747).

Almost surely, 2^57560544 is an apocalyptic number.

57560544 is a gapful number since it is divisible by the number (54) 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 57560544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86444820).

57560544 is an abundant number, since it is smaller than the sum of its proper divisors (115329096).

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

57560544 is a wasteful number, since it uses less digits than its factorization.

57560544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 57560544 is about 7586.8665468690. The cubic root of 57560544 is about 386.1075523360.

The spelling of 57560544 in words is "fifty-seven million, five hundred sixty thousand, five hundred forty-four".