8544 has 24 divisors (see below), whose sum is σ = 22680. Its totient is φ = 2816.

The previous prime is 8543. The next prime is 8563. The reversal of 8544 is 4458.

8544 = T₃₉ + T₄₀ + ... + T₄₇.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

2⁸⁵⁴⁴ 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 8544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340).

8544 is an abundant number, since it is smaller than the sum of its proper divisors (14136).

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

8544 is a wasteful number, since it uses less digits than its factorization.

8544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 8544 is about 92.4337600663. The cubic root of 8544 is about 20.4434292011.

It can be divided in two parts, 854 and 4, that added together give a palindrome (858).

The spelling of 8544 in words is "eight thousand, five hundred forty-four".