57984192 has 168 divisors, whose sum is σ = 193523616. Its totient is φ = 16257024.

The previous prime is 57984191. The next prime is 57984193. The reversal of 57984192 is 29148975.

It is an interprime number because it is at equal distance from previous prime (57984191) and next prime (57984193).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (57984191) by changing a digit.

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, 294238 + ... + 294434.

Almost surely, 2^57984192 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 57984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96761808).

57984192 is an abundant number, since it is smaller than the sum of its proper divisors (135539424).

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

57984192 is a wasteful number, since it uses less digits than its factorization.

57984192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 57984192 is about 7614.7351890923. The cubic root of 57984192 is about 387.0524937306.

The spelling of 57984192 in words is "fifty-seven million, nine hundred eighty-four thousand, one hundred ninety-two".