57069216 has 72 divisors (see below), whose sum is σ = 167911380. Its totient is φ = 18364416.

The previous prime is 57069209. The next prime is 57069251. The reversal of 57069216 is 61296075.

57069216 is a `hidden beast` number, since 570 + 69 + 21 + 6 = 666.

57069216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 2250000 = 7404^2 + 1500^2 .

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

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4936 + ... + 11768.

Almost surely, 2^57069216 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 57069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83955690).

57069216 is an abundant number, since it is smaller than the sum of its proper divisors (110842164).

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

57069216 is a wasteful number, since it uses less digits than its factorization.

57069216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 57069216 is about 7554.4169861082. The cubic root of 57069216 is about 385.0058266392.

The spelling of 57069216 in words is "fifty-seven million, sixty-nine thousand, two hundred sixteen".