180918 has 36 divisors (see below), whose sum is σ = 431340. Its totient is φ = 54648.

The previous prime is 180907. The next prime is 180949. The reversal of 180918 is 819081.

180918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×180918³ = 17765056333741896, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180891 and 180900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180918.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7855 + ... + 7877.

2¹⁸⁰⁹¹⁸ is an apocalyptic number.

180918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215670).

180918 is an abundant number, since it is smaller than the sum of its proper divisors (250422).

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

180918 is a wasteful number, since it uses less digits than its factorization.

180918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 180918 is about 425.3445662049. The cubic root of 180918 is about 56.5579846929.

Adding to 180918 its reverse (819081), we get a palindrome (999999).

The spelling of 180918 in words is "one hundred eighty thousand, nine hundred eighteen".