826224 has 40 divisors (see below), whose sum is σ = 2440320. Its totient is φ = 235968.

The previous prime is 826211. The next prime is 826271. The reversal of 826224 is 422628.

826224 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 (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 826194 and 826203.

It is a congruent number.

It is an unprimeable number.

826224 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 7 ways as a sum of consecutive naturals, for example, 894 + ... + 1565.

It is an arithmetic number, because the mean of its divisors is an integer number (61008).

2⁸²⁶²²⁴ is an apocalyptic number.

826224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

826224 is an abundant number, since it is smaller than the sum of its proper divisors (1614096).

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

826224 is a wasteful number, since it uses less digits than its factorization.

826224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2471 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 826224 is about 908.9686463240. The cubic root of 826224 is about 93.8352327095.

The spelling of 826224 in words is "eight hundred twenty-six thousand, two hundred twenty-four".