218081968 has 40 divisors (see below), whose sum is σ = 459258800. Its totient is φ = 99719424.

The previous prime is 218081953. The next prime is 218081971. The reversal of 218081968 is 869180812.

218081968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17863 + ... + 27481.

It is an arithmetic number, because the mean of its divisors is an integer number (11481470).

Almost surely, 2^218081968 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 218081968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229629400).

218081968 is an abundant number, since it is smaller than the sum of its proper divisors (241176832).

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

218081968 is a wasteful number, since it uses less digits than its factorization.

218081968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 43.

The square root of 218081968 is about 14767.5985860938. The cubic root of 218081968 is about 601.9215874146.

It can be divided in two parts, 2180 and 81968, that added together give a palindrome (84148).

The spelling of 218081968 in words is "two hundred eighteen million, eighty-one thousand, nine hundred sixty-eight".