7288640 has 28 divisors (see below), whose sum is σ = 17356836. Its totient is φ = 2915328.

The previous prime is 7288639. The next prime is 7288643. The reversal of 7288640 is 468827.

It can be written as a sum of positive squares in 2 ways, for example, as 4804864 + 2483776 = 2192^2 + 1576^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7288640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288643) 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, 11069 + ... + 11708.

It is an arithmetic number, because the mean of its divisors is an integer number (619887).

Almost surely, 2^7288640 is an apocalyptic number.

It is an amenable number.

7288640 is an abundant number, since it is smaller than the sum of its proper divisors (10068196).

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

7288640 is a wasteful number, since it uses less digits than its factorization.

7288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22794 (or 22784 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 7288640 is about 2699.7481364009. The cubic root of 7288640 is about 193.8870636115.

The spelling of 7288640 in words is "seven million, two hundred eighty-eight thousand, six hundred forty".