218526 has 48 divisors (see below), whose sum is σ = 561792. Its totient is φ = 55440.

The previous prime is 218521. The next prime is 218527. The reversal of 218526 is 625812.

It is a super-2 number, since 2×218526² = 95507225352, which contains 22 as substring.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 218496 and 218505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218526.

It is not an unprimeable number, because it can be changed into a prime (218521) by changing a digit.

218526 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 5103.

It is an arithmetic number, because the mean of its divisors is an integer number (11704).

2²¹⁸⁵²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280896).

218526 is an abundant number, since it is smaller than the sum of its proper divisors (343266).

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

218526 is a wasteful number, since it uses less digits than its factorization.

218526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 218526 is about 467.4676459393. The cubic root of 218526 is about 60.2329830330.

It can be divided in two parts, 2185 and 26, that added together give a triangular number (2211 = T₆₆).

The spelling of 218526 in words is "two hundred eighteen thousand, five hundred twenty-six".