198720000 has 400 divisors, whose sum is σ = 767004480. Its totient is φ = 50688000.

The previous prime is 198719947. The next prime is 198720061. The reversal of 198720000 is 27891.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639989 + ... + 8640011.

Almost surely, 2^198720000 is an apocalyptic number.

198720000 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 198720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383502240).

198720000 is an abundant number, since it is smaller than the sum of its proper divisors (568284480).

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

198720000 is an frugal number, since it uses more digits than its factorization.

198720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

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

The square root of 198720000 is about 14096.8081493649. The cubic root of 198720000 is about 583.5532957313.

Adding to 198720000 its reverse (27891), we get a palindrome (198747891).

The spelling of 198720000 in words is "one hundred ninety-eight million, seven hundred twenty thousand".