81180 has 72 divisors (see below), whose sum is σ = 275184. Its totient is φ = 19200.

The previous prime is 81173. The next prime is 81181. The reversal of 81180 is 8118.

81180 = 29³ + 30³ + 31³.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81181) by changing a digit.

81180 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 23 ways as a sum of consecutive naturals, for example, 1960 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁸¹¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

81180 is an abundant number, since it is smaller than the sum of its proper divisors (194004).

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

81180 is a wasteful number, since it uses less digits than its factorization.

81180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 81180 is about 284.9210416940. The cubic root of 81180 is about 43.2995133882.

Adding to 81180 its reverse (8118), we get a palindrome (89298).

The spelling of 81180 in words is "eighty-one thousand, one hundred eighty".