57306096 has 80 divisors (see below), whose sum is σ = 166135200. Its totient is φ = 18911232.

The previous prime is 57306079. The next prime is 57306103. The reversal of 57306096 is 69060375.

It is a happy number.

It is a super-2 number, since 2×57306096² = 6567977277522432, which contains 22 as substring.

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 57306096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46480 + ... + 47696.

It is an arithmetic number, because the mean of its divisors is an integer number (2076690).

Almost surely, 2^57306096 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 57306096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83067600).

57306096 is an abundant number, since it is smaller than the sum of its proper divisors (108829104).

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

57306096 is a wasteful number, since it uses less digits than its factorization.

57306096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 57306096 is about 7570.0789956248. The cubic root of 57306096 is about 385.5377788529.

It can be divided in two parts, 57 and 306096, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 57306096 in words is "fifty-seven million, three hundred six thousand, ninety-six".