199688 has 16 divisors (see below), whose sum is σ = 379500. Its totient is φ = 98496.

The previous prime is 199687. The next prime is 199697. The reversal of 199688 is 886991.

199688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 174724 + 24964 = 418^2 + 158^2 .

It is not an unprimeable number, because it can be changed into a prime (199687) 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, 758 + ... + 986.

2¹⁹⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

199688 is a deficient number, since it is larger than the sum of its proper divisors (179812).

199688 is a wasteful number, since it uses less digits than its factorization.

199688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 31104, while the sum is 41.

The square root of 199688 is about 446.8646327469. The cubic root of 199688 is about 58.4499291530.

The spelling of 199688 in words is "one hundred ninety-nine thousand, six hundred eighty-eight".