99591984 has 160 divisors (see below), whose sum is σ = 308551680. Its totient is φ = 30643200.

The previous prime is 99591983. The next prime is 99591991. The reversal of 99591984 is 48919599.

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 99591984.

It is not an unprimeable number, because it can be changed into a prime (99591983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521329 + ... + 521519.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 2^99591984 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 99591984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154275840).

99591984 is an abundant number, since it is smaller than the sum of its proper divisors (208959696).

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

99591984 is a wasteful number, since it uses less digits than its factorization.

99591984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

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

The square root of 99591984 is about 9979.5783478061. The cubic root of 99591984 is about 463.5267419977.

The spelling of 99591984 in words is "ninety-nine million, five hundred ninety-one thousand, nine hundred eighty-four".