57612096 has 84 divisors (see below), whose sum is σ = 170878500. Its totient is φ = 18536448.

The previous prime is 57612091. The next prime is 57612101. The reversal of 57612096 is 69021675.

57612096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57612091) and next prime (57612101).

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 47114496 = 3240^2 + 6864^2 .

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 a self number, because there is not a number n which added to its sum of digits gives 57612096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57612091) by changing a digit.

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, 14980 + ... + 18428.

Almost surely, 2^57612096 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 57612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85439250).

57612096 is an abundant number, since it is smaller than the sum of its proper divisors (113266404).

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

57612096 is a wasteful number, since it uses less digits than its factorization.

57612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3483 counting only the distinct ones).

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

The square root of 57612096 is about 7590.2632365419. The cubic root of 57612096 is about 386.2227856529. Note that the first 3 decimals are identical.

The spelling of 57612096 in words is "fifty-seven million, six hundred twelve thousand, ninety-six".