198792 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 60000.

The previous prime is 198769. The next prime is 198811. The reversal of 198792 is 297891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁹⁸⁷⁹² is an apocalyptic number.

198792 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 198792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

198792 is an abundant number, since it is smaller than the sum of its proper divisors (390888).

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

198792 is a wasteful number, since it uses less digits than its factorization.

198792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 198792 is about 445.8609648758. The cubic root of 198792 is about 58.3623764672.

Subtracting 198792 from its reverse (297891), we obtain a palindrome (99099).

It can be divided in two parts, 19879 and 2, that added together give a square (19881 = 141²).

The spelling of 198792 in words is "one hundred ninety-eight thousand, seven hundred ninety-two".