199980 has 72 divisors (see below), whose sum is σ = 668304. Its totient is φ = 48000.

The previous prime is 199967. The next prime is 199999. The reversal of 199980 is 89991.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 101 × 99 × 20.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930 + ... + 2030.

It is an arithmetic number, because the mean of its divisors is an integer number (9282).

2¹⁹⁹⁹⁸⁰ is an apocalyptic number.

199980 is a gapful number since it is divisible by the number (10) 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 199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152).

199980 is an abundant number, since it is smaller than the sum of its proper divisors (468324).

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

199980 is a wasteful number, since it uses less digits than its factorization.

199980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199980 is about 447.1912342611. The cubic root of 199980 is about 58.4784053541.

199980 divided by its sum of digits (36) gives a palindrome (5555).

It can be divided in two parts, 19 and 9980, that added together give a palindrome (9999).

The spelling of 199980 in words is "one hundred ninety-nine thousand, nine hundred eighty".