216626256 has 180 divisors, whose sum is σ = 769620384. Its totient is φ = 56246400.

The previous prime is 216626227. The next prime is 216626281. The reversal of 216626256 is 652626612.

216626256 is a `hidden beast` number, since 2 + 1 + 6 + 626 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216626256.

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 35 ways as a sum of consecutive naturals, for example, 76221 + ... + 79011.

Almost surely, 2^216626256 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 216626256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384810192).

216626256 is an abundant number, since it is smaller than the sum of its proper divisors (552994128).

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

216626256 is a wasteful number, since it uses less digits than its factorization.

216626256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2814 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 216626256 is about 14718.2286977747. The cubic root of 216626256 is about 600.5793071587.

The spelling of 216626256 in words is "two hundred sixteen million, six hundred twenty-six thousand, two hundred fifty-six".