216432216 has 432 divisors, whose sum is σ = 832393800. Its totient is φ = 51891840.

The previous prime is 216432179. The next prime is 216432221. The reversal of 216432216 is 612234612.

216432216 = T₁₃ + T₁₄ + ... + T₁₀₉₀.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

216432216 is a `hidden beast` number, since 2 + 1 + 643 + 2 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3456) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216432216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16648626 + ... + 16648638.

Almost surely, 2^216432216 is an apocalyptic number.

216432216 is a gapful number since it is divisible by the number (26) 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 216432216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416196900).

216432216 is an abundant number, since it is smaller than the sum of its proper divisors (615961584).

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

216432216 is a wasteful number, since it uses less digits than its factorization.

216432216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 216432216 is about 14711.6353951558. The cubic root of 216432216 is about 600.3999333629.

Multiplying 216432216 by its product of digits (3456), we get a square (747989738496 = 864864²).

Adding to 216432216 its reverse (612234612), we get a palindrome (828666828).

The spelling of 216432216 in words is "two hundred sixteen million, four hundred thirty-two thousand, two hundred sixteen".