826966336 has 84 divisors (see below), whose sum is σ = 2009546400. Its totient is φ = 335736576.

The previous prime is 826966333. The next prime is 826966337. The reversal of 826966336 is 633669628.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 826966336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826966331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52645 + ... + 66523.

Almost surely, 2^826966336 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 826966336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004773200).

826966336 is an abundant number, since it is smaller than the sum of its proper divisors (1182580064).

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

826966336 is a wasteful number, since it uses less digits than its factorization.

826966336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13924 (or 13907 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 49.

The square root of 826966336 is about 28757.0223771516. The cubic root of 826966336 is about 938.6332695518.

The spelling of 826966336 in words is "eight hundred twenty-six million, nine hundred sixty-six thousand, three hundred thirty-six".