216733608 has 192 divisors, whose sum is σ = 760905600. Its totient is φ = 54120960.

The previous prime is 216733607. The next prime is 216733613. The reversal of 216733608 is 806337612.

It is a happy number.

216733608 is a `hidden beast` number, since 2 + 16 + 7 + 33 + 608 = 666.

216733608 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 (36).

It is not an unprimeable number, because it can be changed into a prime (216733603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123618 + ... + 125358.

It is an arithmetic number, because the mean of its divisors is an integer number (3963050).

Almost surely, 2^216733608 is an apocalyptic number.

216733608 is a gapful number since it is divisible by the number (28) 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 216733608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380452800).

216733608 is an abundant number, since it is smaller than the sum of its proper divisors (544171992).

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

216733608 is a wasteful number, since it uses less digits than its factorization.

216733608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 216733608 is about 14721.8751523031. The cubic root of 216733608 is about 600.6784991090.

It can be divided in two parts, 21673 and 3608, that added together give a square (25281 = 159²).

The spelling of 216733608 in words is "two hundred sixteen million, seven hundred thirty-three thousand, six hundred eight".