99960 has 96 divisors (see below), whose sum is σ = 369360. Its totient is φ = 21504.

The previous prime is 99929. The next prime is 99961. The reversal of 99960 is 6999.

99960 is nontrivially palindromic in base 13.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99961) by changing a digit.

99960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5872 + ... + 5888.

2⁹⁹⁹⁶⁰ 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 99960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184680).

99960 is an abundant number, since it is smaller than the sum of its proper divisors (269400).

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

99960 is a wasteful number, since it uses less digits than its factorization.

99960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 99960 is about 316.1645141378. The cubic root of 99960 is about 46.4096987257.

The spelling of 99960 in words is "ninety-nine thousand, nine hundred sixty".