57669984 has 72 divisors (see below), whose sum is σ = 173660760. Its totient is φ = 18091008.

The previous prime is 57669973. The next prime is 57670021. The reversal of 57669984 is 48996675.

57669984 is a `hidden beast` number, since 576 + 69 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57669984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994 + ... + 10785.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2^57669984 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 57669984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86830380).

57669984 is an abundant number, since it is smaller than the sum of its proper divisors (115990776).

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

57669984 is a wasteful number, since it uses less digits than its factorization.

57669984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812 (or 11801 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 57669984 is about 7594.0755856128. The cubic root of 57669984 is about 386.3520998195.

It can be divided in two parts, 57669 and 984, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 57669984 in words is "fifty-seven million, six hundred sixty-nine thousand, nine hundred eighty-four".