813087168 has 112 divisors (see below), whose sum is σ = 2268297216. Its totient is φ = 256537600.

The previous prime is 813087167. The next prime is 813087199. The reversal of 813087168 is 861780318.

It is a super-2 number, since 2×813087168² = 1322221485532520448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813087161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445105 + ... + 446927.

Almost surely, 2^813087168 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 813087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134148608).

813087168 is an abundant number, since it is smaller than the sum of its proper divisors (1455210048).

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

813087168 is a wasteful number, since it uses less digits than its factorization.

813087168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 813087168 is about 28514.6833754120. The cubic root of 813087168 is about 933.3525157055.

The spelling of 813087168 in words is "eight hundred thirteen million, eighty-seven thousand, one hundred sixty-eight".