216905088 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 67358720.

The previous prime is 216905069. The next prime is 216905089. The reversal of 216905088 is 880509612.

216905088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216905089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361813 + ... + 362411.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^216905088 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 216905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

216905088 is an abundant number, since it is smaller than the sum of its proper divisors (399990912).

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

216905088 is a wasteful number, since it uses less digits than its factorization.

216905088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 216905088 is about 14727.6979871262. The cubic root of 216905088 is about 600.8368766309.

The spelling of 216905088 in words is "two hundred sixteen million, nine hundred five thousand, eighty-eight".