198504 has 32 divisors (see below), whose sum is σ = 552000. Its totient is φ = 66096.

The previous prime is 198503. The next prime is 198529. The reversal of 198504 is 405891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198504.

It is not an unprimeable number, because it can be changed into a prime (198503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (17250).

2¹⁹⁸⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

198504 is an abundant number, since it is smaller than the sum of its proper divisors (353496).

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

198504 is a wasteful number, since it uses less digits than its factorization.

198504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 198504 is about 445.5378771777. The cubic root of 198504 is about 58.3341786726.

The spelling of 198504 in words is "one hundred ninety-eight thousand, five hundred four".