12761856 has 108 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 4085760.

The previous prime is 12761851. The next prime is 12761867. The reversal of 12761856 is 65816721.

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

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 12761856.

It is not an unprimeable number, because it can be changed into a prime (12761851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66721 + ... + 66911.

Almost surely, 2^12761856 is an apocalyptic number.

12761856 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 12761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

12761856 is an abundant number, since it is smaller than the sum of its proper divisors (25501824).

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

12761856 is a wasteful number, since it uses less digits than its factorization.

12761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12761856 is about 3572.3740005772. The cubic root of 12761856 is about 233.6888259184.

The spelling of 12761856 in words is "twelve million, seven hundred sixty-one thousand, eight hundred fifty-six".