216067008 has 112 divisors (see below), whose sum is σ = 617220000. Its totient is φ = 66453504.

The previous prime is 216067003. The next prime is 216067043. The reversal of 216067008 is 800760612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216067001) 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 15 ways as a sum of consecutive naturals, for example, 172368 + ... + 173616.

Almost surely, 2^216067008 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 216067008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308610000).

216067008 is an abundant number, since it is smaller than the sum of its proper divisors (401152992).

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

216067008 is a wasteful number, since it uses less digits than its factorization.

216067008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 216067008 is about 14699.2179383803. The cubic root of 216067008 is about 600.0620380297.

The spelling of 216067008 in words is "two hundred sixteen million, sixty-seven thousand, eight".