812664936 has 96 divisors (see below), whose sum is σ = 2292118920. Its totient is φ = 259891200.

The previous prime is 812664917. The next prime is 812664967. The reversal of 812664936 is 639466218.

It can be written as a sum of positive squares in 4 ways, for example, as 35928036 + 776736900 = 5994^2 + 27870^2 .

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 = 812664891 and 812664900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177816 + ... + 182328.

Almost surely, 2^812664936 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 812664936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146059460).

812664936 is an abundant number, since it is smaller than the sum of its proper divisors (1479453984).

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

812664936 is a wasteful number, since it uses less digits than its factorization.

812664936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4620 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 812664936 is about 28507.2786494958. The cubic root of 812664936 is about 933.1909260051.

The spelling of 812664936 in words is "eight hundred twelve million, six hundred sixty-four thousand, nine hundred thirty-six".