198288 has 70 divisors (see below), whose sum is σ = 609894. Its totient is φ = 62208.

The previous prime is 198281. The next prime is 198301. The reversal of 198288 is 882891.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 11664 = 432^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (198281) by changing a digit.

198288 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 13 ways as a sum of consecutive naturals, for example, 11656 + ... + 11672.

2¹⁹⁸²⁸⁸ is an apocalyptic number.

198288 is a gapful number since it is divisible by the number (18) 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 198288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304947).

198288 is an abundant number, since it is smaller than the sum of its proper divisors (411606).

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

198288 is an equidigital number, since it uses as much as digits as its factorization.

198288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 22 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 198288 is about 445.2954075667. The cubic root of 198288 is about 58.3130124230.

It can be divided in two parts, 1 and 98288, that added together give a palindrome (98289).

The spelling of 198288 in words is "one hundred ninety-eight thousand, two hundred eighty-eight".