19936 has 24 divisors (see below), whose sum is σ = 45360. Its totient is φ = 8448.

The previous prime is 19927. The next prime is 19937. The reversal of 19936 is 63991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19937) 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 3 ways as a sum of consecutive naturals, for example, 180 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2¹⁹⁹³⁶ is an apocalyptic number.

19936 is a gapful number since it is divisible by the number (16) 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 19936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

19936 is an abundant number, since it is smaller than the sum of its proper divisors (25424).

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

19936 is an equidigital number, since it uses as much as digits as its factorization.

19936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 1458, while the sum is 28.

The square root of 19936 is about 141.1949007578. The cubic root of 19936 is about 27.1151914390.

The spelling of 19936 in words is "nineteen thousand, nine hundred thirty-six".