19968 has 40 divisors (see below), whose sum is σ = 57288. Its totient is φ = 6144.

The previous prime is 19963. The next prime is 19973. The reversal of 19968 is 86991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19963) and next prime (19973).

Its product of digits (3888) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19961) by changing a digit.

19968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1530 + ... + 1542.

2¹⁹⁹⁶⁸ 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 19968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644).

19968 is an abundant number, since it is smaller than the sum of its proper divisors (37320).

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

19968 is an equidigital number, since it uses as much as digits as its factorization.

19968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 18 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 19968 is about 141.3081738612. The cubic root of 19968 is about 27.1296915441.

The spelling of 19968 in words is "nineteen thousand, nine hundred sixty-eight".