198672 has 20 divisors (see below), whose sum is σ = 513360. Its totient is φ = 66208.

The previous prime is 198659. The next prime is 198673. The reversal of 198672 is 276891.

It is not an unprimeable number, because it can be changed into a prime (198673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2022 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (25668).

2¹⁹⁸⁶⁷² is an apocalyptic number.

198672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198672 is an abundant number, since it is smaller than the sum of its proper divisors (314688).

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

198672 is a wasteful number, since it uses less digits than its factorization.

198672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4144 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 198672 is about 445.7263734625. The cubic root of 198672 is about 58.3506306980.

The spelling of 198672 in words is "one hundred ninety-eight thousand, six hundred seventy-two".