198318000 has 80 divisors (see below), whose sum is σ = 639396576. Its totient is φ = 52883200.

The previous prime is 198317969. The next prime is 198318017. The reversal of 198318000 is 813891.

198318000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 10527 + ... + 22526.

Almost surely, 2^198318000 is an apocalyptic number.

198318000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198318000 is an abundant number, since it is smaller than the sum of its proper divisors (441078576).

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

198318000 is a wasteful number, since it uses less digits than its factorization.

198318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33079 (or 33063 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 198318000 is about 14082.5423841010. The cubic root of 198318000 is about 583.1595309877.

The spelling of 198318000 in words is "one hundred ninety-eight million, three hundred eighteen thousand".