12584896 has 56 divisors (see below), whose sum is σ = 27157680. Its totient is φ = 5763072.

The previous prime is 12584881. The next prime is 12584899. The reversal of 12584896 is 69848521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12584899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46650 + ... + 46918.

Almost surely, 2^12584896 is an apocalyptic number.

12584896 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 12584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578840).

12584896 is an abundant number, since it is smaller than the sum of its proper divisors (14572784).

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

12584896 is a wasteful number, since it uses less digits than its factorization.

12584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 12584896 is about 3547.5196969150. The cubic root of 12584896 is about 232.6036597927.

The spelling of 12584896 in words is "twelve million, five hundred eighty-four thousand, eight hundred ninety-six".