99913824 has 84 divisors (see below), whose sum is σ = 294991956. Its totient is φ = 33296832.

The previous prime is 99913789. The next prime is 99913867. The reversal of 99913824 is 42831999.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99913824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21187 + ... + 25469.

It is an arithmetic number, because the mean of its divisors is an integer number (3511809).

Almost surely, 2^99913824 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 99913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147495978).

99913824 is an abundant number, since it is smaller than the sum of its proper divisors (195078132).

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

99913824 is an equidigital number, since it uses as much as digits as its factorization.

99913824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4288 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 99913824 is about 9995.6902713119. The cubic root of 99913824 is about 464.0255138567.

The spelling of 99913824 in words is "ninety-nine million, nine hundred thirteen thousand, eight hundred twenty-four".