12288576 has 56 divisors (see below), whose sum is σ = 33649920. Its totient is φ = 3953152.

The previous prime is 12288559. The next prime is 12288581. The reversal of 12288576 is 67588221.

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, 4465 + ... + 6671.

Almost surely, 2^12288576 is an apocalyptic number.

12288576 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 12288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16824960).

12288576 is an abundant number, since it is smaller than the sum of its proper divisors (21361344).

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

12288576 is a wasteful number, since it uses less digits than its factorization.

12288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2241 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 12288576 is about 3505.5065254539. The cubic root of 12288576 is about 230.7635368168.

It can be divided in two parts, 12288 and 576, that multiplied together give a cube (7077888 = 192³).

The spelling of 12288576 in words is "twelve million, two hundred eighty-eight thousand, five hundred seventy-six".