198468 has 36 divisors (see below), whose sum is σ = 518700. Its totient is φ = 63936.

The previous prime is 198463. The next prime is 198469. The reversal of 198468 is 864891.

It is a happy number.

198468 is a `hidden beast` number, since 198 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 97344 = 318^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (198461) by changing a digit.

198468 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 11 ways as a sum of consecutive naturals, for example, 1258 + ... + 1406.

2¹⁹⁸⁴⁶⁸ is an apocalyptic number.

198468 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 198468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259350).

198468 is an abundant number, since it is smaller than the sum of its proper divisors (320232).

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

198468 is a wasteful number, since it uses less digits than its factorization.

198468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 198468 is about 445.4974747403. The cubic root of 198468 is about 58.3306520310.

It can be divided in two parts, 198 and 468, that added together give a palindrome (666).

The spelling of 198468 in words is "one hundred ninety-eight thousand, four hundred sixty-eight".