198931968 has 120 divisors (see below), whose sum is σ = 599412528. Its totient is φ = 63393792.

The previous prime is 198931963. The next prime is 198931969. The reversal of 198931968 is 869139891.

198931968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198931963) 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, 105046 + ... + 106922.

Almost surely, 2^198931968 is an apocalyptic number.

198931968 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 198931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299706264).

198931968 is an abundant number, since it is smaller than the sum of its proper divisors (400480560).

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

198931968 is a wasteful number, since it uses less digits than its factorization.

198931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1905 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 198931968 is about 14104.3244432337. The cubic root of 198931968 is about 583.7607076186.

The spelling of 198931968 in words is "one hundred ninety-eight million, nine hundred thirty-one thousand, nine hundred sixty-eight".