181280 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 65280.

The previous prime is 181277. The next prime is 181283. The reversal of 181280 is 82181.

It is an interprime number because it is at equal distance from previous prime (181277) and next prime (181283).

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 (181283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1709 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹⁸¹²⁸⁰ is an apocalyptic number.

181280 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 181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

181280 is an abundant number, since it is smaller than the sum of its proper divisors (290464).

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

181280 is a wasteful number, since it uses less digits than its factorization.

181280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 181280 is about 425.7698909035. The cubic root of 181280 is about 56.5956819740.

Subtracting from 181280 its reverse (82181), we obtain a palindrome (99099).

The spelling of 181280 in words is "one hundred eighty-one thousand, two hundred eighty".