16768 has 16 divisors (see below), whose sum is σ = 33660. Its totient is φ = 8320.

The previous prime is 16763. The next prime is 16787. The reversal of 16768 is 86761.

It is a tau number, because it is divible by the number of its divisors (16).

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 (16763) by changing a digit.

16768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63 + ... + 193.

2¹⁶⁷⁶⁸ 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 16768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830).

16768 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

16768 is an equidigital number, since it uses as much as digits as its factorization.

16768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 16768 is about 129.4913124499. The cubic root of 16768 is about 25.5953116414.

It can be divided in two parts, 16 and 768, that added together give a square (784 = 28²).

The spelling of 16768 in words is "sixteen thousand, seven hundred sixty-eight".