19768 has 16 divisors (see below), whose sum is σ = 42480. Its totient is φ = 8448.

The previous prime is 19763. The next prime is 19777. The reversal of 19768 is 86791.

19768 is nontrivially palindromic in base 13.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19763) 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, 121 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (2655).

2¹⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

19768 is an abundant number, since it is smaller than the sum of its proper divisors (22712).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21240).

19768 is a wasteful number, since it uses less digits than its factorization.

19768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 19768 is about 140.5987197666. The cubic root of 19768 is about 27.0388102134.

It can be divided in two parts, 19 and 768, that added together give a palindrome (787).

The spelling of 19768 in words is "nineteen thousand, seven hundred sixty-eight".