813336168 has 96 divisors (see below), whose sum is σ = 2177244000. Its totient is φ = 253129728.

The previous prime is 813336157. The next prime is 813336193. The reversal of 813336168 is 861633318.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033071 + ... + 1033857.

It is an arithmetic number, because the mean of its divisors is an integer number (22679625).

Almost surely, 2^813336168 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 813336168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088622000).

813336168 is an abundant number, since it is smaller than the sum of its proper divisors (1363907832).

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

813336168 is a wasteful number, since it uses less digits than its factorization.

813336168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 958 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 813336168 is about 28519.0492127630. The cubic root of 813336168 is about 933.4477826772.

The spelling of 813336168 in words is "eight hundred thirteen million, three hundred thirty-six thousand, one hundred sixty-eight".