7867216 has 40 divisors (see below), whose sum is σ = 18342080. Its totient is φ = 3193344.

The previous prime is 7867213. The next prime is 7867247. The reversal of 7867216 is 6127687.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7867213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 3976.

It is an arithmetic number, because the mean of its divisors is an integer number (458552).

Almost surely, 2^7867216 is an apocalyptic number.

7867216 is a gapful number since it is divisible by the number (76) 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 7867216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171040).

7867216 is an abundant number, since it is smaller than the sum of its proper divisors (10474864).

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

7867216 is a wasteful number, since it uses less digits than its factorization.

7867216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3725 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 7867216 is about 2804.8557895193. The cubic root of 7867216 is about 198.8872875018.

The spelling of 7867216 in words is "seven million, eight hundred sixty-seven thousand, two hundred sixteen".