99396 has 36 divisors (see below), whose sum is σ = 275184. Its totient is φ = 30000.

The previous prime is 99391. The next prime is 99397. The reversal of 99396 is 69399.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 99396.

It is not an unprimeable number, because it can be changed into a prime (99391) by changing a digit.

99396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁹⁹³⁹⁶ 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 99396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

99396 is an abundant number, since it is smaller than the sum of its proper divisors (175788).

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

99396 is a wasteful number, since it uses less digits than its factorization.

99396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 267 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 99396 is about 315.2713117301. The cubic root of 99396 is about 46.3222488997.

It can be divided in two parts, 993 and 96, that added together give a square (1089 = 33²).

The spelling of 99396 in words is "ninety-nine thousand, three hundred ninety-six".