198960 has 40 divisors (see below), whose sum is σ = 617520. Its totient is φ = 52992.

The previous prime is 198959. The next prime is 198967. The reversal of 198960 is 69891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198967) 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, 175 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (15438).

2¹⁹⁸⁹⁶⁰ is an apocalyptic number.

198960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198960 is an abundant number, since it is smaller than the sum of its proper divisors (418560).

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

198960 is a wasteful number, since it uses less digits than its factorization.

198960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 198960 is about 446.0493246268. The cubic root of 198960 is about 58.3788126057.

The spelling of 198960 in words is "one hundred ninety-eight thousand, nine hundred sixty".