198912000 has 384 divisors, whose sum is σ = 776805120. Its totient is φ = 44236800.

The previous prime is 198911989. The next prime is 198912013. The reversal of 198912000 is 219891.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 31 ways as a sum of consecutive naturals, for example, 5375982 + ... + 5376018.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^198912000 is an apocalyptic number.

198912000 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 198912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388402560).

198912000 is an abundant number, since it is smaller than the sum of its proper divisors (577893120).

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

198912000 is an equidigital number, since it uses as much as digits as its factorization.

198912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 198912000 is about 14103.6165574650. The cubic root of 198912000 is about 583.7411751054.

The spelling of 198912000 in words is "one hundred ninety-eight million, nine hundred twelve thousand".