216410112 has 144 divisors (see below), whose sum is σ = 638820000. Its totient is φ = 70557696.

The previous prime is 216410083. The next prime is 216410113. The reversal of 216410112 is 211014612.

216410112 is a `hidden beast` number, since 21 + 641 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (216410113) 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, 1087389 + ... + 1087587.

It is an arithmetic number, because the mean of its divisors is an integer number (4436250).

Almost surely, 2^216410112 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 216410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319410000).

216410112 is an abundant number, since it is smaller than the sum of its proper divisors (422409888).

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

216410112 is a wasteful number, since it uses less digits than its factorization.

216410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 216410112 is about 14710.8841338650. The cubic root of 216410112 is about 600.3794932575.

Adding to 216410112 its reverse (211014612), we get a palindrome (427424724).

The spelling of 216410112 in words is "two hundred sixteen million, four hundred ten thousand, one hundred twelve".