198880 has 48 divisors (see below), whose sum is σ = 517104. Its totient is φ = 71680.

The previous prime is 198859. The next prime is 198899. The reversal of 198880 is 88891.

198880 = 31² + 32² + ... + 85².

198880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

198880 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 7 ways as a sum of consecutive naturals, for example, 1704 + ... + 1816.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2¹⁹⁸⁸⁸⁰ is an apocalyptic number.

198880 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 198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

198880 is an abundant number, since it is smaller than the sum of its proper divisors (318224).

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

198880 is a wasteful number, since it uses less digits than its factorization.

198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 198880 is about 445.9596394294. The cubic root of 198880 is about 58.3709870275.

The spelling of 198880 in words is "one hundred ninety-eight thousand, eight hundred eighty".