811332956 has 48 divisors (see below), whose sum is σ = 1720922112. Its totient is φ = 326726400.

The previous prime is 811332947. The next prime is 811332997. The reversal of 811332956 is 659233118.

It is a happy number.

It is a super-2 number, since 2×811332956² = 1316522330983395872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432701 + ... + 434571.

It is an arithmetic number, because the mean of its divisors is an integer number (35852544).

Almost surely, 2^811332956 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 811332956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860461056).

811332956 is an abundant number, since it is smaller than the sum of its proper divisors (909589156).

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

811332956 is a wasteful number, since it uses less digits than its factorization.

811332956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2808 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 811332956 is about 28483.9069651619. The cubic root of 811332956 is about 932.6808054078.

The spelling of 811332956 in words is "eight hundred eleven million, three hundred thirty-two thousand, nine hundred fifty-six".