12008576 has 32 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 5741824.

The previous prime is 12008569. The next prime is 12008621. The reversal of 12008576 is 67580021.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 905 + ... + 4983.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^12008576 is an apocalyptic number.

12008576 is a gapful number since it is divisible by the number (16) 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 12008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

12008576 is an abundant number, since it is smaller than the sum of its proper divisors (12961024).

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

12008576 is an equidigital number, since it uses as much as digits as its factorization.

12008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12008576 is about 3465.3392330333. The cubic root of 12008576 is about 228.9973747975.

Adding to 12008576 its reverse (67580021), we get a palindrome (79588597).

The spelling of 12008576 in words is "twelve million, eight thousand, five hundred seventy-six".