19908 has 36 divisors (see below), whose sum is σ = 58240. Its totient is φ = 5616.

The previous prime is 19891. The next prime is 19913. The reversal of 19908 is 80991.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

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 11 ways as a sum of consecutive naturals, for example, 213 + ... + 291.

2¹⁹⁹⁰⁸ is an apocalyptic number.

19908 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 19908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29120).

19908 is an abundant number, since it is smaller than the sum of its proper divisors (38332).

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

19908 is a wasteful number, since it uses less digits than its factorization.

19908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 19908 is about 141.0957121957. The cubic root of 19908 is about 27.1024911133.

Subtracting from 19908 its sum of digits (27), we obtain a square (19881 = 141²).

The spelling of 19908 in words is "nineteen thousand, nine hundred eight".