7116416 has 32 divisors (see below), whose sum is σ = 14458500. Its totient is φ = 3487744.

The previous prime is 7116409. The next prime is 7116419. The reversal of 7116416 is 6146117.

It can be written as a sum of positive squares in 2 ways, for example, as 6270016 + 846400 = 2504^2 + 920^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7116419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6260 + ... + 7308.

Almost surely, 2^7116416 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 7116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229250).

7116416 is an abundant number, since it is smaller than the sum of its proper divisors (7342084).

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

7116416 is a wasteful number, since it uses less digits than its factorization.

7116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1104 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 7116416 is about 2667.6611478972. The cubic root of 7116416 is about 192.3477494074.

Subtracting from 7116416 its reverse (6146117), we obtain a cube (970299 = 99³).

The spelling of 7116416 in words is "seven million, one hundred sixteen thousand, four hundred sixteen".