12763296 has 144 divisors (see below), whose sum is σ = 44763264. Its totient is φ = 3359232.

The previous prime is 12763291. The next prime is 12763297. The reversal of 12763296 is 69236721.

12763296 is a `hidden beast` number, since 12 + 7 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12763296.

It is not an unprimeable number, because it can be changed into a prime (12763291) 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 23 ways as a sum of consecutive naturals, for example, 25965 + ... + 26451.

It is an arithmetic number, because the mean of its divisors is an integer number (310856).

Almost surely, 2^12763296 is an apocalyptic number.

12763296 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 12763296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22381632).

12763296 is an abundant number, since it is smaller than the sum of its proper divisors (31999968).

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

12763296 is a wasteful number, since it uses less digits than its factorization.

12763296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 12763296 is about 3572.5755415386. The cubic root of 12763296 is about 233.6976151115.

The spelling of 12763296 in words is "twelve million, seven hundred sixty-three thousand, two hundred ninety-six".