7865216 has 32 divisors (see below), whose sum is σ = 16044600. Its totient is φ = 3838464.

The previous prime is 7865171. The next prime is 7865257. The reversal of 7865216 is 6125687.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4790 + ... + 6218.

Almost surely, 2^7865216 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 7865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022300).

7865216 is an abundant number, since it is smaller than the sum of its proper divisors (8179384).

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

7865216 is a wasteful number, since it uses less digits than its factorization.

7865216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1474 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 7865216 is about 2804.4992422891. The cubic root of 7865216 is about 198.8704323955.

The spelling of 7865216 in words is "seven million, eight hundred sixty-five thousand, two hundred sixteen".