7965216 has 120 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 2270592.

The previous prime is 7965173. The next prime is 7965229. The reversal of 7965216 is 6125697.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17925 + ... + 18363.

It is an arithmetic number, because the mean of its divisors is an integer number (223608).

Almost surely, 2^7965216 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 7965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

7965216 is an abundant number, since it is smaller than the sum of its proper divisors (18867744).

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

7965216 is a wasteful number, since it uses less digits than its factorization.

7965216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7965216 is about 2822.2714256428. The cubic root of 7965216 is about 199.7097122022.

The spelling of 7965216 in words is "seven million, nine hundred sixty-five thousand, two hundred sixteen".