813090168 has 96 divisors (see below), whose sum is σ = 2485220400. Its totient is φ = 237888000.

The previous prime is 813090149. The next prime is 813090203. The reversal of 813090168 is 861090318.

813090168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813090168² = 1322231242596536448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5268 + ... + 40668.

Almost surely, 2^813090168 is an apocalyptic number.

813090168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813090168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242610200).

813090168 is an abundant number, since it is smaller than the sum of its proper divisors (1672130232).

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

813090168 is a wasteful number, since it uses less digits than its factorization.

813090168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35453 (or 35446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 813090168 is about 28514.7359798403. The cubic root of 813090168 is about 933.3536636161.

The spelling of 813090168 in words is "eight hundred thirteen million, ninety thousand, one hundred sixty-eight".