218768 has 30 divisors (see below), whose sum is σ = 470022. Its totient is φ = 98560.

The previous prime is 218761. The next prime is 218783. The reversal of 218768 is 867812.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 94864 = 352^2 + 308^2 .

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218768.

It is not an unprimeable number, because it can be changed into a prime (218761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1880 + ... + 1992.

2²¹⁸⁷⁶⁸ 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 218768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235011).

218768 is an abundant number, since it is smaller than the sum of its proper divisors (251254).

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

218768 is a wasteful number, since it uses less digits than its factorization.

218768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 218768 is about 467.7264157603. The cubic root of 218768 is about 60.2552092280.

The spelling of 218768 in words is "two hundred eighteen thousand, seven hundred sixty-eight".