9009924 has 96 divisors (see below), whose sum is σ = 26880000. Its totient is φ = 2328480.

The previous prime is 9009901. The next prime is 9009929. The reversal of 9009924 is 4299009.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9009929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45177 + ... + 45375.

It is an arithmetic number, because the mean of its divisors is an integer number (280000).

Almost surely, 2^9009924 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 9009924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440000).

9009924 is an abundant number, since it is smaller than the sum of its proper divisors (17870076).

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

9009924 is a wasteful number, since it uses less digits than its factorization.

9009924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9009924 is about 3001.6535442985. The cubic root of 9009924 is about 208.0848088576.

Subtracting from 9009924 its reverse (4299009), we obtain a triangular number (4710915 = T₃₀₆₉).

The spelling of 9009924 in words is "nine million, nine thousand, nine hundred twenty-four".