199280 has 40 divisors (see below), whose sum is σ = 482112. Its totient is φ = 76544.

The previous prime is 199267. The next prime is 199289. The reversal of 199280 is 82991.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 9.

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 (199289) by changing a digit.

199280 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, 3734 + ... + 3786.

2¹⁹⁹²⁸⁰ is an apocalyptic number.

199280 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 199280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056).

199280 is an abundant number, since it is smaller than the sum of its proper divisors (282832).

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

199280 is a wasteful number, since it uses less digits than its factorization.

199280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 199280 is about 446.4078852350. The cubic root of 199280 is about 58.4100939580.

The spelling of 199280 in words is "one hundred ninety-nine thousand, two hundred eighty".