99600 has 60 divisors (see below), whose sum is σ = 322896. Its totient is φ = 26240.

The previous prime is 99581. The next prime is 99607. The reversal of 99600 is 699.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99607) by changing a digit.

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, 1159 + ... + 1241.

2⁹⁹⁶⁰⁰ 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 99600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448).

99600 is an abundant number, since it is smaller than the sum of its proper divisors (223296).

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

99600 is a wasteful number, since it uses less digits than its factorization.

99600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 99600 is about 315.5946767612. The cubic root of 99600 is about 46.3539177840.

The spelling of 99600 in words is "ninety-nine thousand, six hundred".