57084192 has 144 divisors (see below), whose sum is σ = 182250432. Its totient is φ = 16796160.

The previous prime is 57084187. The next prime is 57084199. The reversal of 57084192 is 29148075.

57084192 is a `hidden beast` number, since 570 + 84 + 1 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57084199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116973 + ... + 117459.

It is an arithmetic number, because the mean of its divisors is an integer number (1265628).

Almost surely, 2^57084192 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 57084192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91125216).

57084192 is an abundant number, since it is smaller than the sum of its proper divisors (125166240).

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

57084192 is a wasteful number, since it uses less digits than its factorization.

57084192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57084192 is about 7555.4081292806. The cubic root of 57084192 is about 385.0395012037.

The spelling of 57084192 in words is "fifty-seven million, eighty-four thousand, one hundred ninety-two".