181360 has 20 divisors (see below), whose sum is σ = 421848. Its totient is φ = 72512.

The previous prime is 181303. The next prime is 181361. The reversal of 181360 is 63181.

181360 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181361) by changing a digit.

181360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1054 + ... + 1213.

2¹⁸¹³⁶⁰ is an apocalyptic number.

181360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

181360 is an abundant number, since it is smaller than the sum of its proper divisors (240488).

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

181360 is a wasteful number, since it uses less digits than its factorization.

181360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 181360 is about 425.8638280014. The cubic root of 181360 is about 56.6040060927.

It can be divided in two parts, 18 and 1360, that added together give a triangular number (1378 = T₅₂).

The spelling of 181360 in words is "one hundred eighty-one thousand, three hundred sixty".