826956 has 96 divisors (see below), whose sum is σ = 2508800. Its totient is φ = 233280.

The previous prime is 826939. The next prime is 826957. The reversal of 826956 is 659628.

826956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 826956.

It is not an unprimeable number, because it can be changed into a prime (826957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26661 + ... + 26691.

2⁸²⁶⁹⁵⁶ 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 826956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254400).

826956 is an abundant number, since it is smaller than the sum of its proper divisors (1681844).

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

826956 is a wasteful number, since it uses less digits than its factorization.

826956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 826956 is about 909.3712113323. The cubic root of 826956 is about 93.8629358972.

The spelling of 826956 in words is "eight hundred twenty-six thousand, nine hundred fifty-six".