216006 has 32 divisors (see below), whose sum is σ = 510720. Its totient is φ = 59616.

The previous prime is 215983. The next prime is 216023. The reversal of 216006 is 600612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485 + ... + 1623.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

216006 is a Friedman number, since it can be written as 60^(2+1+0)+6, using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255360).

216006 is an abundant number, since it is smaller than the sum of its proper divisors (294714).

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

216006 is a wasteful number, since it uses less digits than its factorization.

216006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 216006 is about 464.7644564723. The cubic root of 216006 is about 60.0005555504. Note that the first 3 decimals are identical.

Adding to 216006 its reverse (600612), we get a palindrome (816618).

It can be divided in two parts, 21600 and 6, that multiplied together give a square (129600 = 360²).

The spelling of 216006 in words is "two hundred sixteen thousand, six".