216796160 has 176 divisors, whose sum is σ = 622550016. Its totient is φ = 70828032.

The previous prime is 216796159. The next prime is 216796163. The reversal of 216796160 is 61697612.

216796160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216796163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824189 + ... + 824451.

It is an arithmetic number, because the mean of its divisors is an integer number (3537216).

Almost surely, 2^216796160 is an apocalyptic number.

216796160 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 216796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311275008).

216796160 is an abundant number, since it is smaller than the sum of its proper divisors (405753856).

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

216796160 is a wasteful number, since it uses less digits than its factorization.

216796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 216796160 is about 14723.9994566694. Note that the first 3 decimals coincide. The cubic root of 216796160 is about 600.7362812987.

The spelling of 216796160 in words is "two hundred sixteen million, seven hundred ninety-six thousand, one hundred sixty".