7313640 has 64 divisors (see below), whose sum is σ = 22334400. Its totient is φ = 1915392.

The previous prime is 7313633. The next prime is 7313641. The reversal of 7313640 is 463137.

It is a super-4 number, since 4×7313640⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7313640.

It is not an unprimeable number, because it can be changed into a prime (7313641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6564 + ... + 7596.

It is an arithmetic number, because the mean of its divisors is an integer number (348975).

Almost surely, 2^7313640 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 7313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167200).

7313640 is an abundant number, since it is smaller than the sum of its proper divisors (15020760).

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

7313640 is a wasteful number, since it uses less digits than its factorization.

7313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 7313640 is about 2704.3742344579. The cubic root of 7313640 is about 194.1084878734.

Adding to 7313640 its reverse (463137), we get a palindrome (7776777).

It can be divided in two parts, 731 and 3640, that added together give a triangular number (4371 = T₉₃).

The spelling of 7313640 in words is "seven million, three hundred thirteen thousand, six hundred forty".