216536320 has 288 divisors, whose sum is σ = 700519680. Its totient is φ = 62300160.

The previous prime is 216536291. The next prime is 216536339. The reversal of 216536320 is 23635612.

216536320 is digitally balanced in base 3, 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 (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16656634 + ... + 16656646.

It is an arithmetic number, because the mean of its divisors is an integer number (2432360).

Almost surely, 2^216536320 is an apocalyptic number.

216536320 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 216536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350259840).

216536320 is an abundant number, since it is smaller than the sum of its proper divisors (483983360).

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

216536320 is an equidigital number, since it uses as much as digits as its factorization.

216536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 216536320 is about 14715.1731216456. The cubic root of 216536320 is about 600.4961821516.

The spelling of 216536320 in words is "two hundred sixteen million, five hundred thirty-six thousand, three hundred twenty".