99993984 has 64 divisors (see below), whose sum is σ = 268158000. Its totient is φ = 33011712.

The previous prime is 99993947. The next prime is 99993991. The reversal of 99993984 is 48939999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40662 + ... + 43050.

Almost surely, 2^99993984 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 99993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134079000).

99993984 is an abundant number, since it is smaller than the sum of its proper divisors (168164016).

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

99993984 is a wasteful number, since it uses less digits than its factorization.

99993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2503 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 60.

The square root of 99993984 is about 9999.6991954758. The cubic root of 99993984 is about 464.1495752418.

The spelling of 99993984 in words is "ninety-nine million, nine hundred ninety-three thousand, nine hundred eighty-four".