826336992 has 216 divisors, whose sum is σ = 2472832152. Its totient is φ = 241413120.

The previous prime is 826336963. The next prime is 826336997. The reversal of 826336992 is 299633628.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826336997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15591238 + ... + 15591290.

It is an arithmetic number, because the mean of its divisors is an integer number (11448297).

Almost surely, 2^826336992 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 826336992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236416076).

826336992 is an abundant number, since it is smaller than the sum of its proper divisors (1646495160).

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

826336992 is a wasteful number, since it uses less digits than its factorization.

826336992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 102 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 826336992 is about 28746.0778542047. The cubic root of 826336992 is about 938.3951005937.

The spelling of 826336992 in words is "eight hundred twenty-six million, three hundred thirty-six thousand, nine hundred ninety-two".