12588560 has 40 divisors (see below), whose sum is σ = 29830680. Its totient is φ = 4938752.

The previous prime is 12588559. The next prime is 12588577. The reversal of 12588560 is 6588521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 12503296 = 292^2 + 3536^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12588560.

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, 2756 + ... + 5724.

It is an arithmetic number, because the mean of its divisors is an integer number (745767).

Almost surely, 2^12588560 is an apocalyptic number.

12588560 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 12588560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915340).

12588560 is an abundant number, since it is smaller than the sum of its proper divisors (17242120).

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

12588560 is a wasteful number, since it uses less digits than its factorization.

12588560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 12588560 is about 3548.0360764795. The cubic root of 12588560 is about 232.6262312178.

The spelling of 12588560 in words is "twelve million, five hundred eighty-eight thousand, five hundred sixty".