811826432 has 54 divisors (see below), whose sum is σ = 1721568198. Its totient is φ = 382001152.

The previous prime is 811826417. The next prime is 811826447. The reversal of 811826432 is 234628118.

It is an interprime number because it is at equal distance from previous prime (811826417) and next prime (811826447).

It can be written as a sum of positive squares in 3 ways, for example, as 352838656 + 458987776 = 18784^2 + 21424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 811826392 and 811826401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68498 + ... + 79470.

Almost surely, 2^811826432 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 811826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860784099).

811826432 is an abundant number, since it is smaller than the sum of its proper divisors (909741766).

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

811826432 is a wasteful number, since it uses less digits than its factorization.

811826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023 (or 10992 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 811826432 is about 28492.5680134312. The cubic root of 811826432 is about 932.8698614986.

The spelling of 811826432 in words is "eight hundred eleven million, eight hundred twenty-six thousand, four hundred thirty-two".