216559872 has 288 divisors, whose sum is σ = 721123200. Its totient is φ = 63700992.

The previous prime is 216559859. The next prime is 216559877. The reversal of 216559872 is 278955612.

216559872 is a `hidden beast` number, since 2 + 16 + 559 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (216559877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232528 + ... + 2232624.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^216559872 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 216559872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

216559872 is an abundant number, since it is smaller than the sum of its proper divisors (504563328).

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

216559872 is a wasteful number, since it uses less digits than its factorization.

216559872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 216559872 is about 14715.9733623026. The cubic root of 216559872 is about 600.5179527463.

The spelling of 216559872 in words is "two hundred sixteen million, five hundred fifty-nine thousand, eight hundred seventy-two".