82881168 has 20 divisors (see below), whose sum is σ = 214109808. Its totient is φ = 27627040.

The previous prime is 82881151. The next prime is 82881179. The reversal of 82881168 is 86118828.

It is a nude number because it is divisible by every one of its digits.

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, 863298 + ... + 863393.

Almost surely, 2^82881168 is an apocalyptic number.

It is an amenable number.

82881168 is an abundant number, since it is smaller than the sum of its proper divisors (131228640).

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

82881168 is a wasteful number, since it uses less digits than its factorization.

82881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726702 (or 1726696 counting only the distinct ones).

The product of its digits is 49152, while the sum is 42.

The square root of 82881168 is about 9103.9094898840. The cubic root of 82881168 is about 435.9987935887.

The spelling of 82881168 in words is "eighty-two million, eight hundred eighty-one thousand, one hundred sixty-eight".