809224 has 32 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 360000.

The previous prime is 809213. The next prime is 809231. The reversal of 809224 is 422908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3099 + ... + 3349.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁸⁰⁹²²⁴ 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 809224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

809224 is an abundant number, since it is smaller than the sum of its proper divisors (884216).

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

809224 is a wasteful number, since it uses less digits than its factorization.

809224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 809224 is about 899.5687855856. The cubic root of 809224 is about 93.1871976128.

The spelling of 809224 in words is "eight hundred nine thousand, two hundred twenty-four".