99180 has 72 divisors (see below), whose sum is σ = 327600. Its totient is φ = 24192.

The previous prime is 99173. The next prime is 99181. The reversal of 99180 is 8199.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99180.

It is not an unprimeable number, because it can be changed into a prime (99181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3406 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2⁹⁹¹⁸⁰ is an apocalyptic number.

99180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800).

99180 is an abundant number, since it is smaller than the sum of its proper divisors (228420).

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

99180 is a wasteful number, since it uses less digits than its factorization.

99180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 99180 is about 314.9285633283. The cubic root of 99180 is about 46.2886698746.

The spelling of 99180 in words is "ninety-nine thousand, one hundred eighty".