80544 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 26816.

The previous prime is 80537. The next prime is 80557. The reversal of 80544 is 44508.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80544.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80544.

It is an unprimeable number.

80544 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2⁸⁰⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

80544 is an abundant number, since it is smaller than the sum of its proper divisors (131136).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

80544 is a wasteful number, since it uses less digits than its factorization.

80544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

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

The square root of 80544 is about 283.8027484011. The cubic root of 80544 is about 43.1861409590.

The spelling of 80544 in words is "eighty thousand, five hundred forty-four".