198564 has 12 divisors (see below), whose sum is σ = 463344. Its totient is φ = 66184.

The previous prime is 198553. The next prime is 198571. The reversal of 198564 is 465891.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

198564 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 3 ways as a sum of consecutive naturals, for example, 8262 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (38612).

2¹⁹⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

198564 is an abundant number, since it is smaller than the sum of its proper divisors (264780).

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

198564 is a wasteful number, since it uses less digits than its factorization.

198564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16552 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 198564 is about 445.6052064328. The cubic root of 198564 is about 58.3400554612.

The spelling of 198564 in words is "one hundred ninety-eight thousand, five hundred sixty-four".