7311616 has 45 divisors (see below), whose sum is σ = 15810851. Its totient is φ = 3374592.

The previous prime is 7311593. The next prime is 7311659. The reversal of 7311616 is 6161137.

It is a happy number.

The square root of 7311616 is 2704.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

7311616 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 3686400 = 1904^2 + 1920^2 .

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 562426 + ... + 562438.

Almost surely, 2^7311616 is an apocalyptic number.

7311616 is the 2704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7311616

7311616 is an abundant number, since it is smaller than the sum of its proper divisors (8499235).

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

7311616 is an frugal number, since it uses more digits than its factorization.

7311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 15 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The cubic root of 7311616 is about 194.0905801545.

Multiplying 7311616 by its sum of digits (25), we get a square (182790400 = 13520²).

The spelling of 7311616 in words is "seven million, three hundred eleven thousand, six hundred sixteen".