99861984 has 120 divisors (see below), whose sum is σ = 299126520. Its totient is φ = 32673024.

The previous prime is 99861973. The next prime is 99862013. The reversal of 99861984 is 48916899.

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

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 99861984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 152602 + ... + 153254.

It is an arithmetic number, because the mean of its divisors is an integer number (2492721).

Almost surely, 2^99861984 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 99861984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149563260).

99861984 is an abundant number, since it is smaller than the sum of its proper divisors (199264536).

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

99861984 is a wasteful number, since it uses less digits than its factorization.

99861984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 717 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 99861984 is about 9993.0968173034. The cubic root of 99861984 is about 463.9452472056.

The spelling of 99861984 in words is "ninety-nine million, eight hundred sixty-one thousand, nine hundred eighty-four".