198744000 has 504 divisors, whose sum is σ = 826635888. Its totient is φ = 41932800.

The previous prime is 198743999. The next prime is 198744001. The reversal of 198744000 is 447891.

198744000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198743999) and next prime (198744001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198744001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15287994 + ... + 15288006.

Almost surely, 2^198744000 is an apocalyptic number.

198744000 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 198744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413317944).

198744000 is an abundant number, since it is smaller than the sum of its proper divisors (627891888).

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

198744000 is a wasteful number, since it uses less digits than its factorization.

198744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 198744000 is about 14097.6593801950. The cubic root of 198744000 is about 583.5767872693.

The spelling of 198744000 in words is "one hundred ninety-eight million, seven hundred forty-four thousand".