119808 has 66 divisors (see below), whose sum is σ = 372554. Its totient is φ = 36864.

The previous prime is 119797. The next prime is 119809. The reversal of 119808 is 808911.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 36864 = 288^2 + 192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119809) by changing a digit.

119808 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9210 + ... + 9222.

2¹¹⁹⁸⁰⁸ is an apocalyptic number.

119808 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 119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186277).

119808 is an abundant number, since it is smaller than the sum of its proper divisors (252746).

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

119808 is a wasteful number, since it uses less digits than its factorization.

119808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 119808 is about 346.1329224445. The cubic root of 119808 is about 49.2979211820.

The spelling of 119808 in words is "one hundred nineteen thousand, eight hundred eight".