198240 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 44544.

The previous prime is 198223. The next prime is 198241. The reversal of 198240 is 42891.

198240 = 21² + 22² + ... + 84².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 198240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198241) by changing a digit.

198240 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 15 ways as a sum of consecutive naturals, for example, 3331 + ... + 3389.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁹⁸²⁴⁰ is an apocalyptic number.

198240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

198240 is an abundant number, since it is smaller than the sum of its proper divisors (527520).

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

198240 is a wasteful number, since it uses less digits than its factorization.

198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 198240 is about 445.2415074990. The cubic root of 198240 is about 58.3083067247.

The spelling of 198240 in words is "one hundred ninety-eight thousand, two hundred forty".