99915984 has 320 divisors, whose sum is σ = 361881600. Its totient is φ = 25754112.

The previous prime is 99915943. The next prime is 99916043. The reversal of 99915984 is 48951999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 99915984.

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 63 ways as a sum of consecutive naturals, for example, 2125849 + ... + 2125895.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 2^99915984 is an apocalyptic number.

99915984 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99915984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940800).

99915984 is an abundant number, since it is smaller than the sum of its proper divisors (261965616).

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

99915984 is a wasteful number, since it uses less digits than its factorization.

99915984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 99915984 is about 9995.7983172931. The cubic root of 99915984 is about 464.0288576979.

It can be divided in two parts, 999 and 15984, that multiplied together give a square (15968016 = 3996²).

The spelling of 99915984 in words is "ninety-nine million, nine hundred fifteen thousand, nine hundred eighty-four".