816224 has 24 divisors (see below), whose sum is σ = 1678320. Its totient is φ = 390016.

The previous prime is 816223. The next prime is 816227. The reversal of 816224 is 422618.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 816224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 1290.

It is an arithmetic number, because the mean of its divisors is an integer number (69930).

2⁸¹⁶²²⁴ 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 816224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839160).

816224 is an abundant number, since it is smaller than the sum of its proper divisors (862096).

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

816224 is a wasteful number, since it uses less digits than its factorization.

816224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 816224 is about 903.4511608272. The cubic root of 816224 is about 93.4551244518.

The spelling of 816224 in words is "eight hundred sixteen thousand, two hundred twenty-four".