198560 has 48 divisors (see below), whose sum is σ = 503496. Its totient is φ = 73728.

The previous prime is 198553. The next prime is 198571. The reversal of 198560 is 65891.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 15376 = 428^2 + 124^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198560.

It is an unprimeable number.

198560 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2684 + ... + 2756.

2¹⁹⁸⁵⁶⁰ is an apocalyptic number.

198560 is a gapful number since it is divisible by the number (10) 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 198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251748).

198560 is an abundant number, since it is smaller than the sum of its proper divisors (304936).

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

198560 is a wasteful number, since it uses less digits than its factorization.

198560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 198560 is about 445.6007181323. The cubic root of 198560 is about 58.3396637121.

The spelling of 198560 in words is "one hundred ninety-eight thousand, five hundred sixty".