16544 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 7360.

The previous prime is 16529. The next prime is 16547. The reversal of 16544 is 44561.

It is a happy number.

Its product of digits (480) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (16547) by changing a digit.

16544 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 in 3 ways as a sum of consecutive naturals, for example, 329 + ... + 375.

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

2¹⁶⁵⁴⁴ 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 16544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

16544 is an abundant number, since it is smaller than the sum of its proper divisors (19744).

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

16544 is a wasteful number, since it uses less digits than its factorization.

16544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 16544 is about 128.6234815265. The cubic root of 16544 is about 25.4808262890.

It can be divided in two parts, 165 and 44, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 16544 in words is "sixteen thousand, five hundred forty-four".