199392 has 48 divisors (see below), whose sum is σ = 548352. Its totient is φ = 63360.

The previous prime is 199379. The next prime is 199399. The reversal of 199392 is 293991.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199392.

It is not an unprimeable number, because it can be changed into a prime (199399) by changing a digit.

199392 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, 2943 + ... + 3009.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2¹⁹⁹³⁹² is an apocalyptic number.

199392 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 199392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176).

199392 is an abundant number, since it is smaller than the sum of its proper divisors (348960).

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

199392 is a wasteful number, since it uses less digits than its factorization.

199392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 4374, while the sum is 33.

The square root of 199392 is about 446.5333134269. The cubic root of 199392 is about 58.4210345196.

The spelling of 199392 in words is "one hundred ninety-nine thousand, three hundred ninety-two".