9282560 has 132 divisors (see below), whose sum is σ = 26602812. Its totient is φ = 3096576.

The previous prime is 9282503. The next prime is 9282577. The reversal of 9282560 is 652829.

9282560 = T₁₁₀₅ + T₁₁₀₆ + ... + T₁₁₁₉.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 3211264 = 2464^2 + 1792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250862 + ... + 250898.

Almost surely, 2^9282560 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 9282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301406).

9282560 is an abundant number, since it is smaller than the sum of its proper divisors (17320252).

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

9282560 is a wasteful number, since it uses less digits than its factorization.

9282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 9282560 is about 3046.7293939567. The cubic root of 9282560 is about 210.1628366647.

The spelling of 9282560 in words is "nine million, two hundred eighty-two thousand, five hundred sixty".