216610240 has 224 divisors, whose sum is σ = 658368000. Its totient is φ = 65925120.

The previous prime is 216610217. The next prime is 216610259. The reversal of 216610240 is 42016612.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453686 + ... + 1453834.

Almost surely, 2^216610240 is an apocalyptic number.

216610240 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 216610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329184000).

216610240 is an abundant number, since it is smaller than the sum of its proper divisors (441757760).

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

216610240 is a wasteful number, since it uses less digits than its factorization.

216610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 216610240 is about 14717.6846005070. The cubic root of 216610240 is about 600.5645057592.

Adding to 216610240 its reverse (42016612), we get a palindrome (258626852).

The spelling of 216610240 in words is "two hundred sixteen million, six hundred ten thousand, two hundred forty".