99885984 has 72 divisors (see below), whose sum is σ = 288237600. Its totient is φ = 30264960.

The previous prime is 99885979. The next prime is 99886009. The reversal of 99885984 is 48958899.

It is a super-3 number, since 3×99885984³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7317 + ... + 15915.

It is an arithmetic number, because the mean of its divisors is an integer number (4003300).

Almost surely, 2^99885984 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 99885984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144118800).

99885984 is an abundant number, since it is smaller than the sum of its proper divisors (188351616).

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

99885984 is a wasteful number, since it uses less digits than its factorization.

99885984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8615 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The square root of 99885984 is about 9994.2975741170. The cubic root of 99885984 is about 463.9824111446.

The spelling of 99885984 in words is "ninety-nine million, eight hundred eighty-five thousand, nine hundred eighty-four".