199808 has 32 divisors (see below), whose sum is σ = 456960. Its totient is φ = 85248.

The previous prime is 199807. The next prime is 199811. The reversal of 199808 is 808991.

It is a happy number.

It is a Cunningham number, because it is equal to 447²-1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×199808³ = 23930946333966336, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199807) 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 3 ways as a sum of consecutive naturals, for example, 785 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹⁹⁹⁸⁰⁸ 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 199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

199808 is an abundant number, since it is smaller than the sum of its proper divisors (257152).

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

199808 is an equidigital number, since it uses as much as digits as its factorization.

199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

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

The square root of 199808 is about 446.9988814304. The cubic root of 199808 is about 58.4616350591.

The spelling of 199808 in words is "one hundred ninety-nine thousand, eight hundred eight".