12769856 has 84 divisors (see below), whose sum is σ = 29795724. Its totient is φ = 5406720.

The previous prime is 12769849. The next prime is 12769871. The reversal of 12769856 is 65896721.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 4840000 = 2816^2 + 2200^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131600 + ... + 131696.

It is an arithmetic number, because the mean of its divisors is an integer number (354711).

Almost surely, 2^12769856 is an apocalyptic number.

12769856 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 12769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897862).

12769856 is an abundant number, since it is smaller than the sum of its proper divisors (17025868).

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

12769856 is a wasteful number, since it uses less digits than its factorization.

12769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 181440, while the sum is 44.

The square root of 12769856 is about 3573.4935287475. The cubic root of 12769856 is about 233.7376464060.

The spelling of 12769856 in words is "twelve million, seven hundred sixty-nine thousand, eight hundred fifty-six".