82631168 has 40 divisors (see below), whose sum is σ = 166135200. Its totient is φ = 41057280.

The previous prime is 82631119. The next prime is 82631177. The reversal of 82631168 is 86113628.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 101483 + ... + 102293.

It is an arithmetic number, because the mean of its divisors is an integer number (4153380).

Almost surely, 2^82631168 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 82631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83067600).

82631168 is an abundant number, since it is smaller than the sum of its proper divisors (83504032).

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

82631168 is an equidigital number, since it uses as much as digits as its factorization.

82631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1012 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 82631168 is about 9090.1687553092. The cubic root of 82631168 is about 435.5599746571.

The spelling of 82631168 in words is "eighty-two million, six hundred thirty-one thousand, one hundred sixty-eight".