218960 has 80 divisors (see below), whose sum is σ = 642816. Its totient is φ = 67584.

The previous prime is 218947. The next prime is 218963. The reversal of 218960 is 69812.

218960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9509 + ... + 9531.

2²¹⁸⁹⁶⁰ is an apocalyptic number.

218960 is a gapful number since it is divisible by the number (20) 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 218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

218960 is an abundant number, since it is smaller than the sum of its proper divisors (423856).

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

218960 is a wasteful number, since it uses less digits than its factorization.

218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 218960 is about 467.9316189359. The cubic root of 218960 is about 60.2728315758.

The spelling of 218960 in words is "two hundred eighteen thousand, nine hundred sixty".