9268480 has 72 divisors (see below), whose sum is σ = 23951592. Its totient is φ = 3416064.

The previous prime is 9268459. The next prime is 9268489. The reversal of 9268480 is 848629.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 9144576 = 352^2 + 3024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9268489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16362 + ... + 16918.

It is an arithmetic number, because the mean of its divisors is an integer number (332661).

Almost surely, 2^9268480 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 9268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975796).

9268480 is an abundant number, since it is smaller than the sum of its proper divisors (14683112).

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

9268480 is a wasteful number, since it uses less digits than its factorization.

9268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9268480 is about 3044.4178425440. The cubic root of 9268480 is about 210.0565229559.

The spelling of 9268480 in words is "nine million, two hundred sixty-eight thousand, four hundred eighty".