8800224 has 72 divisors (see below), whose sum is σ = 24144120. Its totient is φ = 2806272.

The previous prime is 8800213. The next prime is 8800247. The reversal of 8800224 is 4220088.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8800194 and 8800203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80682 + ... + 80790.

It is an arithmetic number, because the mean of its divisors is an integer number (335335).

Almost surely, 2^8800224 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 8800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072060).

8800224 is an abundant number, since it is smaller than the sum of its proper divisors (15343896).

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

8800224 is a wasteful number, since it uses less digits than its factorization.

8800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8800224 is about 2966.5171497903. The cubic root of 8800224 is about 206.4577748245.

The spelling of 8800224 in words is "eight million, eight hundred thousand, two hundred twenty-four".