19836 has 36 divisors (see below), whose sum is σ = 54600. Its totient is φ = 6048.

The previous prime is 19819. The next prime is 19841. The reversal of 19836 is 63891.

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

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670 + ... + 698.

2¹⁹⁸³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27300).

19836 is an abundant number, since it is smaller than the sum of its proper divisors (34764).

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

19836 is a wasteful number, since it uses less digits than its factorization.

19836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 19836 is about 140.8403351317. The cubic root of 19836 is about 27.0697783583.

The spelling of 19836 in words is "nineteen thousand, eight hundred thirty-six".