199848 has 32 divisors (see below), whose sum is σ = 545760. Its totient is φ = 60480.

The previous prime is 199831. The next prime is 199853. The reversal of 199848 is 848991.

It is an unprimeable number.

199848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (17055).

2¹⁹⁹⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

199848 is an abundant number, since it is smaller than the sum of its proper divisors (345912).

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

199848 is a wasteful number, since it uses less digits than its factorization.

199848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 199848 is about 447.0436220326. The cubic root of 199848 is about 58.4655359863.

Subtracting from 199848 its sum of digits (39), we obtain a square (199809 = 447²).

The spelling of 199848 in words is "one hundred ninety-nine thousand, eight hundred forty-eight".