12532960 has 48 divisors (see below), whose sum is σ = 32305392. Its totient is φ = 4556800.

The previous prime is 12532931. The next prime is 12532967. The reversal of 12532960 is 6923521.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532967) 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, 1801 + ... + 5320.

It is an arithmetic number, because the mean of its divisors is an integer number (673029).

Almost surely, 2^12532960 is an apocalyptic number.

12532960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12532960 is an abundant number, since it is smaller than the sum of its proper divisors (19772432).

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

12532960 is a wasteful number, since it uses less digits than its factorization.

12532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 12532960 is about 3540.1920851841. The cubic root of 12532960 is about 232.2832450132.

The spelling of 12532960 in words is "twelve million, five hundred thirty-two thousand, nine hundred sixty".