12856896 has 168 divisors, whose sum is σ = 42437304. Its totient is φ = 3686400.

The previous prime is 12856891. The next prime is 12856933. The reversal of 12856896 is 69865821.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 8294400 = 2136^2 + 2880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12856891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127246 + ... + 127346.

It is an arithmetic number, because the mean of its divisors is an integer number (252603).

Almost surely, 2^12856896 is an apocalyptic number.

12856896 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 12856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21218652).

12856896 is an abundant number, since it is smaller than the sum of its proper divisors (29580408).

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

12856896 is a wasteful number, since it uses less digits than its factorization.

12856896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 12856896 is about 3585.6514052540. The cubic root of 12856896 is about 234.2675003545.

The spelling of 12856896 in words is "twelve million, eight hundred fifty-six thousand, eight hundred ninety-six".