7114320 has 120 divisors (see below), whose sum is σ = 24576552. Its totient is φ = 1843200.

The previous prime is 7114319. The next prime is 7114351. The reversal of 7114320 is 234117.

7114320 is nontrivially palindromic in base 11.

7114320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 6906384 = 456^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7114320² = 101227098124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7114293 and 7114302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29400 + ... + 29640.

Almost surely, 2^7114320 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 7114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288276).

7114320 is an abundant number, since it is smaller than the sum of its proper divisors (17462232).

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

7114320 is a wasteful number, since it uses less digits than its factorization.

7114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 7114320 is about 2667.2682654731. The cubic root of 7114320 is about 192.3288634743.

Adding to 7114320 its reverse (234117), we get a palindrome (7348437).

The spelling of 7114320 in words is "seven million, one hundred fourteen thousand, three hundred twenty".