216336080 has 40 divisors (see below), whose sum is σ = 506385000. Its totient is φ = 85948928.

The previous prime is 216336061. The next prime is 216336083. The reversal of 216336080 is 80633612.

It can be written as a sum of positive squares in 4 ways, for example, as 10816 + 216325264 = 104^2 + 14708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216336083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 20994.

It is an arithmetic number, because the mean of its divisors is an integer number (12659625).

Almost surely, 2^216336080 is an apocalyptic number.

216336080 is a gapful number since it is divisible by the number (20) 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 216336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253192500).

216336080 is an abundant number, since it is smaller than the sum of its proper divisors (290048920).

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

216336080 is a wasteful number, since it uses less digits than its factorization.

216336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18311 (or 18305 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 216336080 is about 14708.3676864566. The cubic root of 216336080 is about 600.3110239309.

Adding to 216336080 its reverse (80633612), we get a palindrome (296969692).

The spelling of 216336080 in words is "two hundred sixteen million, three hundred thirty-six thousand, eighty".