198848 has 28 divisors (see below), whose sum is σ = 426720. Its totient is φ = 91392.

The previous prime is 198841. The next prime is 198851. The reversal of 198848 is 848891.

It is not an unprimeable number, because it can be changed into a prime (198841) by changing a digit.

198848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 713 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2¹⁹⁸⁸⁴⁸ 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 198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

198848 is an abundant number, since it is smaller than the sum of its proper divisors (227872).

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

198848 is a wasteful number, since it uses less digits than its factorization.

198848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 18432, while the sum is 38.

The square root of 198848 is about 445.9237602999. The cubic root of 198848 is about 58.3678562086.

The spelling of 198848 in words is "one hundred ninety-eight thousand, eight hundred forty-eight".