57561984 has 96 divisors (see below), whose sum is σ = 171451800. Its totient is φ = 18514944.

The previous prime is 57561971. The next prime is 57561989. The reversal of 57561984 is 48916575.

57561984 is a `hidden beast` number, since 5 + 7 + 561 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57561989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32547 + ... + 34269.

Almost surely, 2^57561984 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 57561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85725900).

57561984 is an abundant number, since it is smaller than the sum of its proper divisors (113889816).

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

57561984 is a wasteful number, since it uses less digits than its factorization.

57561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1757 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 57561984 is about 7586.9614471144. The cubic root of 57561984 is about 386.1107720777.

The spelling of 57561984 in words is "fifty-seven million, five hundred sixty-one thousand, nine hundred eighty-four".