9257264 has 40 divisors (see below), whose sum is σ = 18882720. Its totient is φ = 4390400.

The previous prime is 9257263. The next prime is 9257273. The reversal of 9257264 is 4627529.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9257263) 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, 32804 + ... + 33084.

It is an arithmetic number, because the mean of its divisors is an integer number (472068).

Almost surely, 2^9257264 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 9257264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9441360).

9257264 is an abundant number, since it is smaller than the sum of its proper divisors (9625456).

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

9257264 is a wasteful number, since it uses less digits than its factorization.

9257264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 9257264 is about 3042.5752250355. The cubic root of 9257264 is about 209.9717573508.

The spelling of 9257264 in words is "nine million, two hundred fifty-seven thousand, two hundred sixty-four".