198864 has 30 divisors (see below), whose sum is σ = 556946. Its totient is φ = 66240.

The previous prime is 198859. The next prime is 198899. The reversal of 198864 is 468891.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 32400 = 408^2 + 180^2 .

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 12.

It is a congruent number.

It is an unprimeable number.

198864 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 5 ways as a sum of consecutive naturals, for example, 547 + ... + 834.

2¹⁹⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

198864 is an abundant number, since it is smaller than the sum of its proper divisors (358082).

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

198864 is a wasteful number, since it uses less digits than its factorization.

198864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1386 counting only the distinct ones).

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

The square root of 198864 is about 445.9417002255. The cubic root of 198864 is about 58.3694216600.

The spelling of 198864 in words is "one hundred ninety-eight thousand, eight hundred sixty-four".