813168 has 30 divisors (see below), whose sum is σ = 2276144. Its totient is φ = 271008.

The previous prime is 813167. The next prime is 813199. The reversal of 813168 is 861318.

It is a super-2 number, since 2×813168² = 1322484392448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2680 + ... + 2967.

2⁸¹³¹⁶⁸ is an apocalyptic number.

It is an amenable number.

813168 is an abundant number, since it is smaller than the sum of its proper divisors (1462976).

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

813168 is a wasteful number, since it uses less digits than its factorization.

813168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661 (or 5652 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 813168 is about 901.7582824682. The cubic root of 813168 is about 93.3383444022.

It can be divided in two parts, 81 and 3168, that added together give a square (3249 = 57²).

The spelling of 813168 in words is "eight hundred thirteen thousand, one hundred sixty-eight".