826826 has 48 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 292320.

The previous prime is 826811. The next prime is 826831. The reversal of 826826 is 628628.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 826792 and 826801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826826.

It is an unprimeable number.

826826 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 13985 + ... + 14043.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁸²⁶⁸²⁶ is an apocalyptic number.

826826 is an abundant number, since it is smaller than the sum of its proper divisors (896854).

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

826826 is a wasteful number, since it uses less digits than its factorization.

826826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 826826 is about 909.2997305619. The cubic root of 826826 is about 93.8580171264.

The spelling of 826826 in words is "eight hundred twenty-six thousand, eight hundred twenty-six".