57369984 has 96 divisors (see below), whose sum is σ = 177327000. Its totient is φ = 16386048.

The previous prime is 57369973. The next prime is 57369989. The reversal of 57369984 is 48996375.

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 (57369989) 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, 17292 + ... + 20340.

Almost surely, 2^57369984 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 57369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88663500).

57369984 is an abundant number, since it is smaller than the sum of its proper divisors (119957016).

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

57369984 is a wasteful number, since it uses less digits than its factorization.

57369984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3061 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 57369984 is about 7574.2975911962. The cubic root of 57369984 is about 385.6809985775.

The spelling of 57369984 in words is "fifty-seven million, three hundred sixty-nine thousand, nine hundred eighty-four".