198264 has 32 divisors (see below), whose sum is σ = 541440. Its totient is φ = 60000.

The previous prime is 198259. The next prime is 198277. The reversal of 198264 is 462891.

It is a super-2 number, since 2×198264² = 78617227392, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

198264 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 7 ways as a sum of consecutive naturals, for example, 112 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (16920).

2¹⁹⁸²⁶⁴ is an apocalyptic number.

It is an amenable number.

198264 is an abundant number, since it is smaller than the sum of its proper divisors (343176).

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

198264 is a wasteful number, since it uses less digits than its factorization.

198264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 767 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 198264 is about 445.2684583484. The cubic root of 198264 is about 58.3106596688.

The spelling of 198264 in words is "one hundred ninety-eight thousand, two hundred sixty-four".