218839968 has 192 divisors, whose sum is σ = 669513600. Its totient is φ = 70357248.

The previous prime is 218839961. The next prime is 218839979. The reversal of 218839968 is 869938812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (218839961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3709123 + ... + 3709181.

It is an arithmetic number, because the mean of its divisors is an integer number (3487050).

Almost surely, 2^218839968 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 218839968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334756800).

218839968 is an abundant number, since it is smaller than the sum of its proper divisors (450673632).

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

218839968 is an frugal number, since it uses more digits than its factorization.

218839968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 218839968 is about 14793.2406186069. The cubic root of 218839968 is about 602.6181587901.

The spelling of 218839968 in words is "two hundred eighteen million, eight hundred thirty-nine thousand, nine hundred sixty-eight".