198459768 has 192 divisors, whose sum is σ = 594155520. Its totient is φ = 54835200.

The previous prime is 198459743. The next prime is 198459791. The reversal of 198459768 is 867954891.

It is a super-2 number, since 2×198459768² = 78772559029227648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2795173 + ... + 2795243.

It is an arithmetic number, because the mean of its divisors is an integer number (3094560).

Almost surely, 2^198459768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198459768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297077760).

198459768 is an abundant number, since it is smaller than the sum of its proper divisors (395695752).

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

198459768 is a wasteful number, since it uses less digits than its factorization.

198459768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 57.

The square root of 198459768 is about 14087.5749509985. The cubic root of 198459768 is about 583.2984554566.

The spelling of 198459768 in words is "one hundred ninety-eight million, four hundred fifty-nine thousand, seven hundred sixty-eight".