216008 has 32 divisors (see below), whose sum is σ = 456960. Its totient is φ = 95040.

The previous prime is 215983. The next prime is 216023. The reversal of 216008 is 800612.

216008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3191 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

216008 is a Friedman number, since it can be written as 60^(2+1+0)+8, using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁰⁸ 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 216008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480).

216008 is an abundant number, since it is smaller than the sum of its proper divisors (240952).

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

216008 is a wasteful number, since it uses less digits than its factorization.

216008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 216008 is about 464.7666080949. The cubic root of 216008 is about 60.0007407316. Note that the first 3 decimals are identical.

The spelling of 216008 in words is "two hundred sixteen thousand, eight".