8082560 has 64 divisors (see below), whose sum is σ = 19700280. Its totient is φ = 3170304.

The previous prime is 8082559. The next prime is 8082563. The reversal of 8082560 is 652808.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 287296 = 2792^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8082563) 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, 46634 + ... + 46806.

Almost surely, 2^8082560 is an apocalyptic number.

8082560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850140).

8082560 is an abundant number, since it is smaller than the sum of its proper divisors (11617720).

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

8082560 is a wasteful number, since it uses less digits than its factorization.

8082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 8082560 is about 2842.9843474771. The cubic root of 8082560 is about 200.6856467565.

The spelling of 8082560 in words is "eight million, eighty-two thousand, five hundred sixty".