199320 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 48000.

The previous prime is 199313. The next prime is 199321. The reversal of 199320 is 23991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 9.

It is a nialpdrome in base 12.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199321) by changing a digit.

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, 1245 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹⁹⁹³²⁰ is an apocalyptic number.

199320 is a gapful number since it is divisible by the number (10) 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 199320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

199320 is an abundant number, since it is smaller than the sum of its proper divisors (457320).

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

199320 is a wasteful number, since it uses less digits than its factorization.

199320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 199320 is about 446.4526850630. The cubic root of 199320 is about 58.4140017719.

It can be divided in two parts, 19 and 9320, that added together give a palindrome (9339).

The spelling of 199320 in words is "one hundred ninety-nine thousand, three hundred twenty".