12764656 has 40 divisors (see below), whose sum is σ = 26288000. Its totient is φ = 5987520.

The previous prime is 12764651. The next prime is 12764659. The reversal of 12764656 is 65646721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12764651) 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, 60391 + ... + 60601.

It is an arithmetic number, because the mean of its divisors is an integer number (657200).

Almost surely, 2^12764656 is an apocalyptic number.

12764656 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 12764656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144000).

12764656 is an abundant number, since it is smaller than the sum of its proper divisors (13523344).

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

12764656 is a wasteful number, since it uses less digits than its factorization.

12764656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 12764656 is about 3572.7658753408. The cubic root of 12764656 is about 233.7059154092.

The spelling of 12764656 in words is "twelve million, seven hundred sixty-four thousand, six hundred fifty-six".