216868080 has 320 divisors, whose sum is σ = 809948160. Its totient is φ = 47308800.

The previous prime is 216868039. The next prime is 216868087. The reversal of 216868080 is 80868612.

216868080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216868087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436676 + ... + 2436764.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2^216868080 is an apocalyptic number.

216868080 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 216868080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

216868080 is an abundant number, since it is smaller than the sum of its proper divisors (593080080).

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

216868080 is a wasteful number, since it uses less digits than its factorization.

216868080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 216868080 is about 14726.4415253652. The cubic root of 216868080 is about 600.8027034109.

The spelling of 216868080 in words is "two hundred sixteen million, eight hundred sixty-eight thousand, eighty".