198117792 has 96 divisors (see below), whose sum is σ = 597844800. Its totient is φ = 63753984.

The previous prime is 198117767. The next prime is 198117823. The reversal of 198117792 is 297711891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 21103 + ... + 29009.

It is an arithmetic number, because the mean of its divisors is an integer number (6227550).

Almost surely, 2^198117792 is an apocalyptic number.

198117792 is a gapful number since it is divisible by the number (12) 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 198117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298922400).

198117792 is an abundant number, since it is smaller than the sum of its proper divisors (399727008).

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

198117792 is a wasteful number, since it uses less digits than its factorization.

198117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955 (or 7941 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The square root of 198117792 is about 14075.4322136125. The cubic root of 198117792 is about 582.9632258716.

The spelling of 198117792 in words is "one hundred ninety-eight million, one hundred seventeen thousand, seven hundred ninety-two".