57116832 has 48 divisors (see below), whose sum is σ = 150649632. Its totient is φ = 18947840.

The previous prime is 57116809. The next prime is 57116833. The reversal of 57116832 is 23861175.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 57116793 and 57116802.

It is not an unprimeable number, because it can be changed into a prime (57116833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20482 + ... + 23102.

It is an arithmetic number, because the mean of its divisors is an integer number (3138534).

Almost surely, 2^57116832 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 57116832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324816).

57116832 is an abundant number, since it is smaller than the sum of its proper divisors (93532800).

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

57116832 is a wasteful number, since it uses less digits than its factorization.

57116832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2853 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 57116832 is about 7557.5678627453. The cubic root of 57116832 is about 385.1128740838.

The spelling of 57116832 in words is "fifty-seven million, one hundred sixteen thousand, eight hundred thirty-two".