12764808 has 192 divisors, whose sum is σ = 43929600. Its totient is φ = 3265920.

The previous prime is 12764797. The next prime is 12764831. The reversal of 12764808 is 80846721.

12764808 is a `hidden beast` number, since 1 + 2 + 7 + 648 + 0 + 8 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296835 + ... + 296877.

It is an arithmetic number, because the mean of its divisors is an integer number (228800).

Almost surely, 2^12764808 is an apocalyptic number.

12764808 is a gapful number since it is divisible by the number (18) 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 12764808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964800).

12764808 is an abundant number, since it is smaller than the sum of its proper divisors (31164792).

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

12764808 is a wasteful number, since it uses less digits than its factorization.

12764808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12764808 is about 3572.7871473123. The cubic root of 12764808 is about 233.7068430529.

It can be divided in two parts, 1276 and 4808, that added together give a square (6084 = 78²).

The spelling of 12764808 in words is "twelve million, seven hundred sixty-four thousand, eight hundred eight".