199368 has 64 divisors (see below), whose sum is σ = 604800. Its totient is φ = 60480.

The previous prime is 199357. The next prime is 199373. The reversal of 199368 is 863991.

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

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

It is a zygodrome in base 5.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 2773 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2¹⁹⁹³⁶⁸ is an apocalyptic number.

199368 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 199368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

199368 is an abundant number, since it is smaller than the sum of its proper divisors (405432).

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

199368 is a wasteful number, since it uses less digits than its factorization.

199368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 199368 is about 446.5064389233. The cubic root of 199368 is about 58.4186904585.

The spelling of 199368 in words is "one hundred ninety-nine thousand, three hundred sixty-eight".