82319168 has 56 divisors (see below), whose sum is σ = 178993800. Its totient is φ = 37388288.

The previous prime is 82319161. The next prime is 82319173. The reversal of 82319168 is 86191328.

It can be written as a sum of positive squares in 4 ways, for example, as 21977344 + 60341824 = 4688^2 + 7768^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82319161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30248 + ... + 32856.

Almost surely, 2^82319168 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 82319168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89496900).

82319168 is an abundant number, since it is smaller than the sum of its proper divisors (96674632).

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

82319168 is a wasteful number, since it uses less digits than its factorization.

82319168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 82319168 is about 9072.9911275169. The cubic root of 82319168 is about 435.0110852858.

It can be divided in two parts, 823 and 19168, that added together give a palindrome (19991).

The spelling of 82319168 in words is "eighty-two million, three hundred nineteen thousand, one hundred sixty-eight".