12896064 has 112 divisors (see below), whose sum is σ = 40233600. Its totient is φ = 4036608.

The previous prime is 12896063. The next prime is 12896089. The reversal of 12896064 is 46069821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29157 + ... + 29595.

Almost surely, 2^12896064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116800).

12896064 is an abundant number, since it is smaller than the sum of its proper divisors (27337536).

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

12896064 is a wasteful number, since it uses less digits than its factorization.

12896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12896064 is about 3591.1090209015. The cubic root of 12896064 is about 234.5051545884.

The spelling of 12896064 in words is "twelve million, eight hundred ninety-six thousand, sixty-four".