218708672 has 168 divisors, whose sum is σ = 577864224. Its totient is φ = 79699968.

The previous prime is 218708671. The next prime is 218708681. The reversal of 218708672 is 276807812.

It is not an unprimeable number, because it can be changed into a prime (218708671) by changing a digit.

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, 4653353 + ... + 4653399.

It is an arithmetic number, because the mean of its divisors is an integer number (3439668).

Almost surely, 2^218708672 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 218708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288932112).

218708672 is an abundant number, since it is smaller than the sum of its proper divisors (359155552).

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

218708672 is a wasteful number, since it uses less digits than its factorization.

218708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 218708672 is about 14788.8022503514. The cubic root of 218708672 is about 602.4976183741.

The spelling of 218708672 in words is "two hundred eighteen million, seven hundred eight thousand, six hundred seventy-two".