12582560 has 48 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 4766976.

The previous prime is 12582539. The next prime is 12582589. The reversal of 12582560 is 6528521.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971 + ... + 5109.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 2^12582560 is an apocalyptic number.

12582560 is a gapful number since it is divisible by the number (10) 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 12582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

12582560 is an abundant number, since it is smaller than the sum of its proper divisors (18715840).

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

12582560 is a wasteful number, since it uses less digits than its factorization.

12582560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 12582560 is about 3547.1904375153. The cubic root of 12582560 is about 232.5892669901.

The spelling of 12582560 in words is "twelve million, five hundred eighty-two thousand, five hundred sixty".