68544 has 84 divisors (see below), whose sum is σ = 237744. Its totient is φ = 18432.

The previous prime is 68543. The next prime is 68567. The reversal of 68544 is 44586.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4024 + ... + 4040.

2⁶⁸⁵⁴⁴ is an apocalyptic number.

68544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118872).

68544 is an abundant number, since it is smaller than the sum of its proper divisors (169200).

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

68544 is a wasteful number, since it uses less digits than its factorization.

68544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 29 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 68544 is about 261.8090907513. The cubic root of 68544 is about 40.9251061874.

It can be divided in two parts, 685 and 44, that added together give a 6-th power (729 = 3⁶).

The spelling of 68544 in words is "sixty-eight thousand, five hundred forty-four".