180560 has 40 divisors (see below), whose sum is σ = 438216. Its totient is φ = 69120.

The previous prime is 180547. The next prime is 180563. The reversal of 180560 is 65081.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 169744 = 104^2 + 412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180563) by changing a digit.

180560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2930 + ... + 2990.

2¹⁸⁰⁵⁶⁰ is an apocalyptic number.

180560 is a gapful number since it is divisible by the number (10) 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 180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219108).

180560 is an abundant number, since it is smaller than the sum of its proper divisors (257656).

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

180560 is a wasteful number, since it uses less digits than its factorization.

180560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 180560 is about 424.9235225308. The cubic root of 180560 is about 56.5206544685.

The spelling of 180560 in words is "one hundred eighty thousand, five hundred sixty".