99924 has 24 divisors (see below), whose sum is σ = 254688. Its totient is φ = 30240.

The previous prime is 99923. The next prime is 99929. The reversal of 99924 is 42999.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (10612).

2⁹⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

99924 is an abundant number, since it is smaller than the sum of its proper divisors (154764).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344).

99924 is a wasteful number, since it uses less digits than its factorization.

99924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

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

The square root of 99924 is about 316.1075766254. The cubic root of 99924 is about 46.4041266643.

The spelling of 99924 in words is "ninety-nine thousand, nine hundred twenty-four".