216610560 has 108 divisors (see below), whose sum is σ = 749489832. Its totient is φ = 57759744.

The previous prime is 216610529. The next prime is 216610561. The reversal of 216610560 is 65016612.

It is a happy number.

216610560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216610561) 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, 2119 + ... + 20921.

Almost surely, 2^216610560 is an apocalyptic number.

216610560 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 216610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374744916).

216610560 is an abundant number, since it is smaller than the sum of its proper divisors (532879272).

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

216610560 is a wasteful number, since it uses less digits than its factorization.

216610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18830 (or 18813 counting only the distinct ones).

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

The square root of 216610560 is about 14717.6954717782. The cubic root of 216610560 is about 600.5648014986.

The spelling of 216610560 in words is "two hundred sixteen million, six hundred ten thousand, five hundred sixty".