811264896 has 240 divisors, whose sum is σ = 2619959760. Its totient is φ = 249080832.

The previous prime is 811264859. The next prime is 811264921. The reversal of 811264896 is 698462118.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1751961 + ... + 1752423.

It is an arithmetic number, because the mean of its divisors is an integer number (10916499).

Almost surely, 2^811264896 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 811264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309979880).

811264896 is an abundant number, since it is smaller than the sum of its proper divisors (1808694864).

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

811264896 is a wasteful number, since it uses less digits than its factorization.

811264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 481 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 811264896 is about 28482.7122304039. The cubic root of 811264896 is about 932.6547248572.

The spelling of 811264896 in words is "eight hundred eleven million, two hundred sixty-four thousand, eight hundred ninety-six".