218039808 has 120 divisors (see below), whose sum is σ = 675941112. Its totient is φ = 62275584.

The previous prime is 218039791. The next prime is 218039813. The reversal of 218039808 is 808930812.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73816 + ... + 76712.

Almost surely, 2^218039808 is an apocalyptic number.

218039808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337970556).

218039808 is an abundant number, since it is smaller than the sum of its proper divisors (457901304).

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

218039808 is an equidigital number, since it uses as much as digits as its factorization.

218039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 218039808 is about 14766.1710676803. The cubic root of 218039808 is about 601.8827967253.

The spelling of 218039808 in words is "two hundred eighteen million, thirty-nine thousand, eight hundred eight".