811896336 has 120 divisors (see below), whose sum is σ = 2445729624. Its totient is φ = 250490880.

The previous prime is 811896331. The next prime is 811896403. The reversal of 811896336 is 633698118.

It is a happy number.

811896336 is a `hidden beast` number, since 8 + 1 + 1 + 8 + 9 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58064400 + 753831936 = 7620^2 + 27456^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 811896291 and 811896300.

It is not an unprimeable number, because it can be changed into a prime (811896331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146610 + ... + 152046.

Almost surely, 2^811896336 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 811896336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222864812).

811896336 is an abundant number, since it is smaller than the sum of its proper divisors (1633833288).

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

811896336 is a wasteful number, since it uses less digits than its factorization.

811896336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5520 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 811896336 is about 28493.7946928801. The cubic root of 811896336 is about 932.8966362954.

The spelling of 811896336 in words is "eight hundred eleven million, eight hundred ninety-six thousand, three hundred thirty-six".