12788664 has 32 divisors (see below), whose sum is σ = 36539520. Its totient is φ = 3653856.

The previous prime is 12788639. The next prime is 12788669. The reversal of 12788664 is 46688721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788669) 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, 37894 + ... + 38229.

It is an arithmetic number, because the mean of its divisors is an integer number (1141860).

Almost surely, 2^12788664 is an apocalyptic number.

12788664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12788664 is an abundant number, since it is smaller than the sum of its proper divisors (23750856).

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

12788664 is a wasteful number, since it uses less digits than its factorization.

12788664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76139 (or 76135 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 12788664 is about 3576.1241589184. The cubic root of 12788664 is about 233.8523431090.

The spelling of 12788664 in words is "twelve million, seven hundred eighty-eight thousand, six hundred sixty-four".