813160656 has 360 divisors, whose sum is σ = 2932937280. Its totient is φ = 205793280.

The previous prime is 813160639. The next prime is 813160669. The reversal of 813160656 is 656061318.

It is a happy number.

813160656 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 2×813160656² = 1322460504932700672, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 813160656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7196056 + ... + 7196168.

It is an arithmetic number, because the mean of its divisors is an integer number (8147048).

Almost surely, 2^813160656 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 813160656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466468640).

813160656 is an abundant number, since it is smaller than the sum of its proper divisors (2119776624).

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

813160656 is a wasteful number, since it uses less digits than its factorization.

813160656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 813160656 is about 28515.9719455606. The cubic root of 813160656 is about 933.3806341107.

The spelling of 813160656 in words is "eight hundred thirteen million, one hundred sixty thousand, six hundred fifty-six".