216286080 has 128 divisors (see below), whose sum is σ = 695623680. Its totient is φ = 57157632.

The previous prime is 216286073. The next prime is 216286097. The reversal of 216286080 is 80682612.

216286080 is digitally balanced in base 3, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243397 + ... + 244283.

It is an arithmetic number, because the mean of its divisors is an integer number (5434560).

Almost surely, 2^216286080 is an apocalyptic number.

216286080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347811840).

216286080 is an abundant number, since it is smaller than the sum of its proper divisors (479337600).

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

216286080 is a wasteful number, since it uses less digits than its factorization.

216286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 216286080 is about 14706.6678754910. The cubic root of 216286080 is about 600.2647720313.

The spelling of 216286080 in words is "two hundred sixteen million, two hundred eighty-six thousand, eighty".