57116384 has 96 divisors (see below), whose sum is σ = 129153024. Its totient is φ = 24675840.

The previous prime is 57116359. The next prime is 57116387. The reversal of 57116384 is 48361175.

57116384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×57116384³ (a number of 24 digits) contains 333 as substring.

Its product of digits (20160) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57116387) 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 15 ways as a sum of consecutive naturals, for example, 554477 + ... + 554579.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344).

Almost surely, 2^57116384 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 57116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64576512).

57116384 is an abundant number, since it is smaller than the sum of its proper divisors (72036640).

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

57116384 is a wasteful number, since it uses less digits than its factorization.

57116384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 57116384 is about 7557.5382235223. The cubic root of 57116384 is about 385.1118671943. Note that the first 3 decimals are identical.

The spelling of 57116384 in words is "fifty-seven million, one hundred sixteen thousand, three hundred eighty-four".