812406336 has 336 divisors, whose sum is σ = 2760317568. Its totient is φ = 205701120.

The previous prime is 812406323. The next prime is 812406347. The reversal of 812406336 is 633604218.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 812406297 and 812406306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21956910 + ... + 21956946.

Almost surely, 2^812406336 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 812406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380158784).

812406336 is an abundant number, since it is smaller than the sum of its proper divisors (1947911232).

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

812406336 is a wasteful number, since it uses less digits than its factorization.

812406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 812406336 is about 28502.7426048793. The cubic root of 812406336 is about 933.0919312187.

The spelling of 812406336 in words is "eight hundred twelve million, four hundred six thousand, three hundred thirty-six".