12964688 has 40 divisors (see below), whose sum is σ = 28852320. Its totient is φ = 5581440.

The previous prime is 12964687. The next prime is 12964697. The reversal of 12964688 is 88646921.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12964681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1406 + ... + 5282.

It is an arithmetic number, because the mean of its divisors is an integer number (721308).

Almost surely, 2^12964688 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 12964688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426160).

12964688 is an abundant number, since it is smaller than the sum of its proper divisors (15887632).

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

12964688 is a wasteful number, since it uses less digits than its factorization.

12964688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3909 counting only the distinct ones).

The product of its digits is 165888, while the sum is 44.

The square root of 12964688 is about 3600.6510522404. The cubic root of 12964688 is about 234.9203774316.

The spelling of 12964688 in words is "twelve million, nine hundred sixty-four thousand, six hundred eighty-eight".