9924224 has 32 divisors (see below), whose sum is σ = 20636640. Its totient is φ = 4744960.

The previous prime is 9924199. The next prime is 9924259. The reversal of 9924224 is 4224299.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1259 + ... + 4629.

It is an arithmetic number, because the mean of its divisors is an integer number (644895).

Almost surely, 2^9924224 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 9924224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318320).

9924224 is an abundant number, since it is smaller than the sum of its proper divisors (10712416).

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

9924224 is a wasteful number, since it uses less digits than its factorization.

9924224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3396 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 9924224 is about 3150.2736389082. The cubic root of 9924224 is about 214.8979071806.

The spelling of 9924224 in words is "nine million, nine hundred twenty-four thousand, two hundred twenty-four".