180544 has 56 divisors (see below), whose sum is σ = 455168. Its totient is φ = 69120.

The previous prime is 180541. The next prime is 180547. The reversal of 180544 is 445081.

It is an interprime number because it is at equal distance from previous prime (180541) and next prime (180547).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×180544² = 65192271872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180541) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5809 + ... + 5839.

It is an arithmetic number, because the mean of its divisors is an integer number (8128).

2¹⁸⁰⁵⁴⁴ is an apocalyptic number.

180544 is a gapful number since it is divisible by the number (14) 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 180544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227584).

180544 is an abundant number, since it is smaller than the sum of its proper divisors (274624).

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

180544 is a wasteful number, since it uses less digits than its factorization.

180544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 180544 is about 424.9046951965. The cubic root of 180544 is about 56.5189849271.

It can be divided in two parts, 1805 and 44, that added together give a square (1849 = 43²).

The spelling of 180544 in words is "one hundred eighty thousand, five hundred forty-four".