826920 has 48 divisors (see below), whose sum is σ = 2688660. Its totient is φ = 220416.

The previous prime is 826907. The next prime is 826921. The reversal of 826920 is 29628.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 6084 = 906^2 + 78^2 .

It is not an unprimeable number, because it can be changed into a prime (826921) by changing a digit.

826920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789 + ... + 1508.

2⁸²⁶⁹²⁰ is an apocalyptic number.

It is an amenable number.

826920 is an abundant number, since it is smaller than the sum of its proper divisors (1861740).

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

826920 is a wasteful number, since it uses less digits than its factorization.

826920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 826920 is about 909.3514172200. The cubic root of 826920 is about 93.8615738277.

The spelling of 826920 in words is "eight hundred twenty-six thousand, nine hundred twenty".