216684072 has 96 divisors (see below), whose sum is σ = 663979680. Its totient is φ = 65655360.

The previous prime is 216684071. The next prime is 216684077. The reversal of 216684072 is 270486612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216684071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16318 + ... + 26450.

It is an arithmetic number, because the mean of its divisors is an integer number (6916455).

Almost surely, 2^216684072 is an apocalyptic number.

216684072 is a gapful number since it is divisible by the number (22) 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 216684072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331989840).

216684072 is an abundant number, since it is smaller than the sum of its proper divisors (447295608).

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

216684072 is a wasteful number, since it uses less digits than its factorization.

216684072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 216684072 is about 14720.1926617827. The cubic root of 216684072 is about 600.6327325147.

The spelling of 216684072 in words is "two hundred sixteen million, six hundred eighty-four thousand, seventy-two".