12532560 has 80 divisors (see below), whose sum is σ = 39402240. Its totient is φ = 3294720.

The previous prime is 12532543. The next prime is 12532561. The reversal of 12532560 is 6523521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12532560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18630 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (492528).

Almost surely, 2^12532560 is an apocalyptic number.

12532560 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 12532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19701120).

12532560 is an abundant number, since it is smaller than the sum of its proper divisors (26869680).

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

12532560 is a wasteful number, since it uses less digits than its factorization.

12532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 12532560 is about 3540.1355906236. The cubic root of 12532560 is about 232.2807738149.

The spelling of 12532560 in words is "twelve million, five hundred thirty-two thousand, five hundred sixty".