216066312 has 192 divisors, whose sum is σ = 754588800. Its totient is φ = 56073600.

The previous prime is 216066299. The next prime is 216066313. The reversal of 216066312 is 213660612.

216066312 is a `hidden beast` number, since 21 + 6 + 0 + 6 + 631 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216066313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182362 + ... + 183542.

It is an arithmetic number, because the mean of its divisors is an integer number (3930150).

Almost surely, 2^216066312 is an apocalyptic number.

216066312 is a gapful number since it is divisible by the number (22) 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 216066312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377294400).

216066312 is an abundant number, since it is smaller than the sum of its proper divisors (538522488).

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

216066312 is a wasteful number, since it uses less digits than its factorization.

216066312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 216066312 is about 14699.1942636323. The cubic root of 216066312 is about 600.0613937178.

The spelling of 216066312 in words is "two hundred sixteen million, sixty-six thousand, three hundred twelve".