216957168 has 60 divisors (see below), whose sum is σ = 615526080. Its totient is φ = 71324928.

The previous prime is 216957133. The next prime is 216957227. The reversal of 216957168 is 861759612.

216957168 is a `hidden beast` number, since 2 + 16 + 9 + 571 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (10258768).

Almost surely, 2^216957168 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 216957168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307763040).

216957168 is an abundant number, since it is smaller than the sum of its proper divisors (398568912).

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

216957168 is a wasteful number, since it uses less digits than its factorization.

216957168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20726 (or 20717 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 216957168 is about 14729.4659780998. The cubic root of 216957168 is about 600.8849607657.

The spelling of 216957168 in words is "two hundred sixteen million, nine hundred fifty-seven thousand, one hundred sixty-eight".