6417216 has 84 divisors (see below), whose sum is σ = 19831812. Its totient is φ = 1972224.

The previous prime is 6417179. The next prime is 6417227. The reversal of 6417216 is 6127146.

6417216 is a `hidden beast` number, since 641 + 7 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 2822400 = 1896^2 + 1680^2 .

It is a super-2 number, since 2×6417216² = 82361322381312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6417216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7060 + ... + 7916.

It is an arithmetic number, because the mean of its divisors is an integer number (236093).

Almost surely, 2^6417216 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 6417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915906).

6417216 is an abundant number, since it is smaller than the sum of its proper divisors (13414596).

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

6417216 is a wasteful number, since it uses less digits than its factorization.

6417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 6417216 is about 2533.2224537138. Note that the first 3 decimals coincide. The cubic root of 6417216 is about 185.8298826111.

The spelling of 6417216 in words is "six million, four hundred seventeen thousand, two hundred sixteen".