12532608 has 192 divisors, whose sum is σ = 42007680. Its totient is φ = 3548160.

The previous prime is 12532607. The next prime is 12532643. The reversal of 12532608 is 80623521.

12532608 is a `hidden beast` number, since 1 + 2 + 53 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12532607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291435 + ... + 291477.

It is an arithmetic number, because the mean of its divisors is an integer number (218790).

Almost surely, 2^12532608 is an apocalyptic number.

12532608 is a gapful number since it is divisible by the number (18) 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 12532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840).

12532608 is an abundant number, since it is smaller than the sum of its proper divisors (29475072).

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

12532608 is a wasteful number, since it uses less digits than its factorization.

12532608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12532608 is about 3540.1423700185. The cubic root of 12532608 is about 232.2810703615.

The spelling of 12532608 in words is "twelve million, five hundred thirty-two thousand, six hundred eight".