180 has 18 divisors (see below), whose sum is σ = 546. Its totient is φ = 48.

The previous prime is 179. The next prime is 181. The reversal of 180 is 81.

Subtracting from 180 its reverse (81), we obtain a palindrome (99).

It can be divided in two parts, 1 and 80, that added together give a 4-th power (81 = 3^{4}).

180 is nontrivially palindromic in base 14.

180 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

180 is an esthetic number in base 5 and base 7, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (179) and next prime (181).

It can be written as a sum of positive squares in only one way, i.e., 144 + 36 = 12^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

180 is strictly pandigital in base 4.

180 is a nontrivial repdigit in base 14.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 6, base 9, base 14, base 15 and base 16.

It is a zygodrome in base 14.

It is a congruent number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34 + ... + 38.

180 is a highly composite number, because it has more divisors than any smaller number.

180 is a superabundant number, because it has a larger abundancy index than any smaller number.

180 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 180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273).

180 is an abundant number, since it is smaller than the sum of its proper divisors (366).

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

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

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

The sum of its prime factors is 15 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 180 is about 13.4164078650. The cubic root of 180 is about 5.6462161733.

The spelling of 180 in words is "one hundred eighty", and thus it is an aban number.

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