216606336 has 128 divisors (see below), whose sum is σ = 608083200. Its totient is φ = 68210688.

The previous prime is 216606323. The next prime is 216606343. The reversal of 216606336 is 633606612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×216606336³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216606297 and 216606306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 590025 + ... + 590391.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2^216606336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600).

216606336 is an abundant number, since it is smaller than the sum of its proper divisors (391476864).

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

216606336 is a wasteful number, since it uses less digits than its factorization.

216606336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 216606336 is about 14717.5519703516. The cubic root of 216606336 is about 600.5608977151.

The spelling of 216606336 in words is "two hundred sixteen million, six hundred six thousand, three hundred thirty-six".