9268640 has 48 divisors (see below), whose sum is σ = 22330728. Its totient is φ = 3634176.

The previous prime is 9268639. The next prime is 9268663. The reversal of 9268640 is 468629.

It can be written as a sum of positive squares in 4 ways, for example, as 9265936 + 2704 = 3044^2 + 52^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9268640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7934 + ... + 9026.

Almost surely, 2^9268640 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 9268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165364).

9268640 is an abundant number, since it is smaller than the sum of its proper divisors (13062088).

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

9268640 is a wasteful number, since it uses less digits than its factorization.

9268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 9268640 is about 3044.4441200324. Note that the first 3 decimals coincide. The cubic root of 9268640 is about 210.0577316708.

The spelling of 9268640 in words is "nine million, two hundred sixty-eight thousand, six hundred forty".