199880 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 75456.

The previous prime is 199877. The next prime is 199889. The reversal of 199880 is 88991.

199880 = T₁₅₀ + T₁₅₁ + ... + T₁₆₅.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 199880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2¹⁹⁹⁸⁸⁰ is an apocalyptic number.

199880 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 199880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

199880 is an abundant number, since it is smaller than the sum of its proper divisors (275320).

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

199880 is a wasteful number, since it uses less digits than its factorization.

199880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 199880 is about 447.0794112907. The cubic root of 199880 is about 58.4686563533.

Subtracting from 199880 its reverse (88991), we obtain a square (110889 = 333²).

The spelling of 199880 in words is "one hundred ninety-nine thousand, eight hundred eighty".