198336000 has 160 divisors (see below), whose sum is σ = 660055968. Its totient is φ = 52838400.

The previous prime is 198335987. The next prime is 198336031. The reversal of 198336000 is 633891.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 191484 + ... + 192516.

Almost surely, 2^198336000 is an apocalyptic number.

198336000 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 198336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330027984).

198336000 is an abundant number, since it is smaller than the sum of its proper divisors (461719968).

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

198336000 is an equidigital number, since it uses as much as digits as its factorization.

198336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 198336000 is about 14083.1814587472. The cubic root of 198336000 is about 583.1771736189.

Adding to 198336000 its reverse (633891), we get a palindrome (198969891).

The spelling of 198336000 in words is "one hundred ninety-eight million, three hundred thirty-six thousand".