198656 has 24 divisors (see below), whose sum is σ = 401310. Its totient is φ = 98304.

The previous prime is 198647. The next prime is 198659. The reversal of 198656 is 656891.

It can be written as a sum of positive squares in only one way, i.e., 173056 + 25600 = 416^2 + 160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000 + ... + 2096.

2¹⁹⁸⁶⁵⁶ is an apocalyptic number.

198656 is a gapful number since it is divisible by the number (16) 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 198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200655).

198656 is an abundant number, since it is smaller than the sum of its proper divisors (202654).

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

198656 is an frugal number, since it uses more digits than its factorization.

198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 198656 is about 445.7084248699. The cubic root of 198656 is about 58.3490642381.

The spelling of 198656 in words is "one hundred ninety-eight thousand, six hundred fifty-six".