218370816 has 90 divisors (see below), whose sum is σ = 651204092. Its totient is φ = 72783360.

The previous prime is 218370811. The next prime is 218370833. The reversal of 218370816 is 618073812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218370811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15471 + ... + 26001.

Almost surely, 2^218370816 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 218370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325602046).

218370816 is an abundant number, since it is smaller than the sum of its proper divisors (432833276).

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

218370816 is an equidigital number, since it uses as much as digits as its factorization.

218370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 218370816 is about 14777.3751390428. The cubic root of 218370816 is about 602.1872171138.

The spelling of 218370816 in words is "two hundred eighteen million, three hundred seventy thousand, eight hundred sixteen".