16864 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 7680.

The previous prime is 16843. The next prime is 16871. The reversal of 16864 is 46861.

16864 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 529 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁶⁸⁶⁴ 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 16864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

16864 is an abundant number, since it is smaller than the sum of its proper divisors (19424).

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

16864 is a wasteful number, since it uses less digits than its factorization.

16864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 50 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 16864 is about 129.8614646460. The cubic root of 16864 is about 25.6440647338.

It can be divided in two parts, 168 and 64, that added together give a palindrome (232).

The spelling of 16864 in words is "sixteen thousand, eight hundred sixty-four".