216719360 has 224 divisors, whose sum is σ = 627534432. Its totient is φ = 70778880.

The previous prime is 216719351. The next prime is 216719387. The reversal of 216719360 is 63917612.

216719360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216719360.

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, 5857262 + ... + 5857298.

It is an arithmetic number, because the mean of its divisors is an integer number (2801493).

Almost surely, 2^216719360 is an apocalyptic number.

216719360 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 216719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313767216).

216719360 is an abundant number, since it is smaller than the sum of its proper divisors (410815072).

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

216719360 is a wasteful number, since it uses less digits than its factorization.

216719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 216719360 is about 14721.3912386024. The cubic root of 216719360 is about 600.6653360147.

The spelling of 216719360 in words is "two hundred sixteen million, seven hundred nineteen thousand, three hundred sixty".