813056664 has 128 divisors (see below), whose sum is σ = 2460672000. Its totient is φ = 218692224.

The previous prime is 813056653. The next prime is 813056669. The reversal of 813056664 is 466650318.

It is a super-2 number, since 2×813056664² = 1322122277749617792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813056669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570657 + ... + 572079.

It is an arithmetic number, because the mean of its divisors is an integer number (19224000).

Almost surely, 2^813056664 is an apocalyptic number.

813056664 is a gapful number since it is divisible by the number (84) 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 813056664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230336000).

813056664 is an abundant number, since it is smaller than the sum of its proper divisors (1647615336).

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

813056664 is a wasteful number, since it uses less digits than its factorization.

813056664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 813056664 is about 28514.1484880752. The cubic root of 813056664 is about 933.3408435904.

The spelling of 813056664 in words is "eight hundred thirteen million, fifty-six thousand, six hundred sixty-four".