9924144 has 80 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 3138304.

The previous prime is 9924133. The next prime is 9924157. The reversal of 9924144 is 4414299.

9924144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119527 + ... + 119609.

Almost surely, 2^9924144 is an apocalyptic number.

9924144 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499136).

9924144 is an abundant number, since it is smaller than the sum of its proper divisors (17074128).

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

9924144 is a wasteful number, since it uses less digits than its factorization.

9924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 9924144 is about 3150.2609415729. The cubic root of 9924144 is about 214.8973297423.

The spelling of 9924144 in words is "nine million, nine hundred twenty-four thousand, one hundred forty-four".