99409824 has 144 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 30481920.

The previous prime is 99409819. The next prime is 99409831. The reversal of 99409824 is 42890499.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 99409824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202219 + ... + 202709.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 2^99409824 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 99409824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

99409824 is an abundant number, since it is smaller than the sum of its proper divisors (206830656).

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

99409824 is a wasteful number, since it uses less digits than its factorization.

99409824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99409824 is about 9970.4475325835. The cubic root of 99409824 is about 463.2439630031.

The spelling of 99409824 in words is "ninety-nine million, four hundred nine thousand, eight hundred twenty-four".