99638784 has 120 divisors (see below), whose sum is σ = 328751280. Its totient is φ = 28459008.

The previous prime is 99638771. The next prime is 99638807. The reversal of 99638784 is 48783699.

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 99638784.

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 11 ways as a sum of consecutive naturals, for example, 30712 + ... + 33800.

It is an arithmetic number, because the mean of its divisors is an integer number (2739594).

Almost surely, 2^99638784 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 99638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164375640).

99638784 is an abundant number, since it is smaller than the sum of its proper divisors (229112496).

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

99638784 is a wasteful number, since it uses less digits than its factorization.

99638784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3101 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 99638784 is about 9981.9228608520. The cubic root of 99638784 is about 463.5993370452.

The spelling of 99638784 in words is "ninety-nine million, six hundred thirty-eight thousand, seven hundred eighty-four".