99852984 has 288 divisors, whose sum is σ = 358525440. Its totient is φ = 24796800.

The previous prime is 99852983. The next prime is 99852997. The reversal of 99852984 is 48925899.

It is a self number, because there is not a number n which added to its sum of digits gives 99852984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99852983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203007 + ... + 1203089.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^99852984 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 99852984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

99852984 is an abundant number, since it is smaller than the sum of its proper divisors (258672456).

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

99852984 is a wasteful number, since it uses less digits than its factorization.

99852984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 99852984 is about 9992.6464962992. The cubic root of 99852984 is about 463.9313091933.

The spelling of 99852984 in words is "ninety-nine million, eight hundred fifty-two thousand, nine hundred eighty-four".