9924400 has 60 divisors (see below), whose sum is σ = 24440152. Its totient is φ = 3870720.

The previous prime is 9924391. The next prime is 9924407. The reversal of 9924400 is 44299.

It is not an unprimeable number, because it can be changed into a prime (9924407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16912 + ... + 17488.

Almost surely, 2^9924400 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 9924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12220076).

9924400 is an abundant number, since it is smaller than the sum of its proper divisors (14515752).

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

9924400 is a wasteful number, since it uses less digits than its factorization.

9924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9924400 is about 3150.3015728657. The cubic root of 9924400 is about 214.8991775337.

Adding to 9924400 its reverse (44299), we get a palindrome (9968699).

The spelling of 9924400 in words is "nine million, nine hundred twenty-four thousand, four hundred".