198736000 has 64 divisors (see below), whose sum is σ = 494147160. Its totient is φ = 79488000.

The previous prime is 198735961. The next prime is 198736007. The reversal of 198736000 is 637891.

It can be written as a sum of positive squares in 4 ways, for example, as 117158976 + 81577024 = 10824^2 + 9032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (198736007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9790 + ... + 22210.

Almost surely, 2^198736000 is an apocalyptic number.

198736000 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 198736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247073580).

198736000 is an abundant number, since it is smaller than the sum of its proper divisors (295411160).

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

198736000 is an equidigital number, since it uses as much as digits as its factorization.

198736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12450 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 198736000 is about 14097.3756422960. The cubic root of 198736000 is about 583.5689569668.

The spelling of 198736000 in words is "one hundred ninety-eight million, seven hundred thirty-six thousand".