216608 has 24 divisors (see below), whose sum is σ = 487872. Its totient is φ = 92736.

The previous prime is 216607. The next prime is 216617. The reversal of 216608 is 806612.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216608.

It is not an unprimeable number, because it can be changed into a prime (216607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2²¹⁶⁶⁰⁸ is an apocalyptic number.

216608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216608 is an abundant number, since it is smaller than the sum of its proper divisors (271264).

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

216608 is an equidigital number, since it uses as much as digits as its factorization.

216608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 216608 is about 465.4116457503. The cubic root of 216608 is about 60.0562435575.

It can be divided in two parts, 216 and 608, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 216608 in words is "two hundred sixteen thousand, six hundred eight".