216511632 has 60 divisors (see below), whose sum is σ = 610754560. Its totient is φ = 71596224.

The previous prime is 216511621. The next prime is 216511637. The reversal of 216511632 is 236115612.

216511632 is a `hidden beast` number, since 2 + 1 + 651 + 1 + 6 + 3 + 2 = 666.

216511632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216511596 and 216511605.

It is not an unprimeable number, because it can be changed into a prime (216511637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12369 + ... + 24207.

Almost surely, 2^216511632 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 216511632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305377280).

216511632 is an abundant number, since it is smaller than the sum of its proper divisors (394242928).

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

216511632 is a wasteful number, since it uses less digits than its factorization.

216511632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11980 (or 11971 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 216511632 is about 14714.3342357036. The cubic root of 216511632 is about 600.4733597860.

The spelling of 216511632 in words is "two hundred sixteen million, five hundred eleven thousand, six hundred thirty-two".