9257680 has 40 divisors (see below), whose sum is σ = 21764232. Its totient is φ = 3661824.

The previous prime is 9257671. The next prime is 9257681. The reversal of 9257680 is 867529.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 8433216 = 908^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9257681) 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, 7164 + ... + 8356.

Almost surely, 2^9257680 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 9257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882116).

9257680 is an abundant number, since it is smaller than the sum of its proper divisors (12506552).

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

9257680 is a wasteful number, since it uses less digits than its factorization.

9257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 9257680 is about 3042.6435874088. The cubic root of 9257680 is about 209.9749025184.

The spelling of 9257680 in words is "nine million, two hundred fifty-seven thousand, six hundred eighty".