826896 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 223872.

The previous prime is 826883. The next prime is 826907. The reversal of 826896 is 698628.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7675 + ... + 7781.

2⁸²⁶⁸⁹⁶ 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 826896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

826896 is an abundant number, since it is smaller than the sum of its proper divisors (1744368).

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

826896 is a wasteful number, since it uses less digits than its factorization.

826896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 826896 is about 909.3382209057. The cubic root of 826896 is about 93.8606657593.

The spelling of 826896 in words is "eight hundred twenty-six thousand, eight hundred ninety-six".