218764 has 24 divisors (see below), whose sum is σ = 471968. Its totient is φ = 86400.

The previous prime is 218761. The next prime is 218783. The reversal of 218764 is 467812.

218764 is nontrivially palindromic in base 15.

218764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 64 + ... + 664.

2²¹⁸⁷⁶⁴ 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 218764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235984).

218764 is an abundant number, since it is smaller than the sum of its proper divisors (253204).

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

218764 is a wasteful number, since it uses less digits than its factorization.

218764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 218764 is about 467.7221397368. The cubic root of 218764 is about 60.2548419862.

The spelling of 218764 in words is "two hundred eighteen thousand, seven hundred sixty-four".