6467216 has 60 divisors (see below), whose sum is σ = 14906412. Its totient is φ = 2709504.

The previous prime is 6467213. The next prime is 6467231. The reversal of 6467216 is 6127646.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 5017600 = 1204^2 + 2240^2 .

It is not an unprimeable number, because it can be changed into a prime (6467213) 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, 57176 + ... + 57288.

Almost surely, 2^6467216 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 6467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453206).

6467216 is an abundant number, since it is smaller than the sum of its proper divisors (8439196).

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

6467216 is a wasteful number, since it uses less digits than its factorization.

6467216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 6467216 is about 2543.0721578437. The cubic root of 6467216 is about 186.3112682236.

The spelling of 6467216 in words is "six million, four hundred sixty-seven thousand, two hundred sixteen".