198688 has 24 divisors (see below), whose sum is σ = 447552. Its totient is φ = 85056.

The previous prime is 198673. The next prime is 198689. The reversal of 198688 is 886891.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 198688.

It is not an unprimeable number, because it can be changed into a prime (198689) by changing a digit.

198688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (18648).

2¹⁹⁸⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

198688 is an abundant number, since it is smaller than the sum of its proper divisors (248864).

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

198688 is an equidigital number, since it uses as much as digits as its factorization.

198688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 198688 is about 445.7443213323. The cubic root of 198688 is about 58.3521970738.

It can be divided in two parts, 1 and 98688, that added together give a palindrome (98689).

The spelling of 198688 in words is "one hundred ninety-eight thousand, six hundred eighty-eight".