198720 has 112 divisors (see below), whose sum is σ = 731520. Its totient is φ = 50688.

The previous prime is 198719. The next prime is 198733. The reversal of 198720 is 27891.

198720 = T₆₉ + T₇₀ + ... + T₁₁₄.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8629 + ... + 8651.

2¹⁹⁸⁷²⁰ is an apocalyptic number.

198720 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 198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

198720 is an abundant number, since it is smaller than the sum of its proper divisors (532800).

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

198720 is a wasteful number, since it uses less digits than its factorization.

198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 198720 is about 445.7802149042. The cubic root of 198720 is about 58.3553295731.

The spelling of 198720 in words is "one hundred ninety-eight thousand, seven hundred twenty".