99537984 has 280 divisors, whose sum is σ = 364874048. Its totient is φ = 26127360.

The previous prime is 99537983. The next prime is 99538001. The reversal of 99537984 is 48973599.

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 99537984.

It is not an unprimeable number, because it can be changed into a prime (99537983) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 471639 + ... + 471849.

Almost surely, 2^99537984 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 99537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182437024).

99537984 is an abundant number, since it is smaller than the sum of its proper divisors (265336064).

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

99537984 is a wasteful number, since it uses less digits than its factorization.

99537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 99537984 is about 9976.8724558350. The cubic root of 99537984 is about 463.4429502159.

The spelling of 99537984 in words is "ninety-nine million, five hundred thirty-seven thousand, nine hundred eighty-four".