9924192 has 72 divisors (see below), whose sum is σ = 29896776. Its totient is φ = 3111936.

The previous prime is 9924179. The next prime is 9924193. The reversal of 9924192 is 2914299.

9924192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9924193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3883 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (415233).

Almost surely, 2^9924192 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 9924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948388).

9924192 is an abundant number, since it is smaller than the sum of its proper divisors (19972584).

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

9924192 is a wasteful number, since it uses less digits than its factorization.

9924192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2049 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 9924192 is about 3150.2685599802. The cubic root of 9924192 is about 214.8976762057.

It can be divided in two parts, 992 and 4192, that added together give a square (5184 = 72²).

The spelling of 9924192 in words is "nine million, nine hundred twenty-four thousand, one hundred ninety-two".