12788864 has 64 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 5606400.

The previous prime is 12788863. The next prime is 12788869. The reversal of 12788864 is 46888721.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (12788863) 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, 43502 + ... + 43794.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 2^12788864 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 12788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

12788864 is an abundant number, since it is smaller than the sum of its proper divisors (15999616).

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

12788864 is a wasteful number, since it uses less digits than its factorization.

12788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 12788864 is about 3576.1521220440. The cubic root of 12788864 is about 233.8535621632.

The spelling of 12788864 in words is "twelve million, seven hundred eighty-eight thousand, eight hundred sixty-four".