9180 has 48 divisors (see below), whose sum is σ = 30240. Its totient is φ = 2304.

The previous prime is 9173. The next prime is 9181. The reversal of 9180 is 819.

9180 = T₂₄ + T₂₅ + ... + T₄₀.

9180 is nontrivially palindromic in base 11.

9180 is a nontrivial binomial coefficient, being equal to C(136, 2).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

9180 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9181) by changing a digit.

9180 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 15 ways as a sum of consecutive naturals, for example, 532 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2⁹¹⁸⁰ is an apocalyptic number.

9180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9180 is the 135-th triangular number and also the 68-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

9180 is an abundant number, since it is smaller than the sum of its proper divisors (21060).

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

9180 is a wasteful number, since it uses less digits than its factorization.

9180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9180 is about 95.8123165360. The cubic root of 9180 is about 20.9385961407.

Adding to 9180 its reverse (819), we get a palindrome (9999).

It can be divided in two parts, 91 and 80, that added together give a palindrome (171).

The spelling of 9180 in words is "nine thousand, one hundred eighty".