198772000 has 192 divisors, whose sum is σ = 578672640. Its totient is φ = 65664000.

The previous prime is 198771961. The next prime is 198772009. The reversal of 198772000 is 277891.

It is not an unprimeable number, because it can be changed into a prime (198772009) by changing a digit.

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, 867886 + ... + 868114.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^198772000 is an apocalyptic number.

198772000 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 198772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289336320).

198772000 is an abundant number, since it is smaller than the sum of its proper divisors (379900640).

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

198772000 is a wasteful number, since it uses less digits than its factorization.

198772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 198772000 is about 14098.6524178731. The cubic root of 198772000 is about 583.6041916736.

The spelling of 198772000 in words is "one hundred ninety-eight million, seven hundred seventy-two thousand".