218160 has 80 divisors (see below), whose sum is σ = 758880. Its totient is φ = 57600.

The previous prime is 218149. The next prime is 218171. The reversal of 218160 is 61812.

It is an interprime number because it is at equal distance from previous prime (218149) and next prime (218171).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

218160 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 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (9486).

2²¹⁸¹⁶⁰ is an apocalyptic number.

218160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218160 is the 270-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440).

218160 is an abundant number, since it is smaller than the sum of its proper divisors (540720).

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

218160 is a wasteful number, since it uses less digits than its factorization.

218160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 218160 is about 467.0760109447. The cubic root of 218160 is about 60.1993370125.

Adding to 218160 its reverse (61812), we get a palindrome (279972).

It can be divided in two parts, 218 and 160, that added together give a triangular number (378 = T₂₇).

The spelling of 218160 in words is "two hundred eighteen thousand, one hundred sixty".