198348768 has 72 divisors (see below), whose sum is σ = 567914256. Its totient is φ = 65664000.

The previous prime is 198348767. The next prime is 198348781. The reversal of 198348768 is 867843891.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198348763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41208 + ... + 45768.

It is an arithmetic number, because the mean of its divisors is an integer number (7887698).

Almost surely, 2^198348768 is an apocalyptic number.

198348768 is a gapful number since it is divisible by the number (18) 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 198348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283957128).

198348768 is an abundant number, since it is smaller than the sum of its proper divisors (369565488).

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

198348768 is a wasteful number, since it uses less digits than its factorization.

198348768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4717 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 198348768 is about 14083.6347581155. The cubic root of 198348768 is about 583.1896874782.

The spelling of 198348768 in words is "one hundred ninety-eight million, three hundred forty-eight thousand, seven hundred sixty-eight".