12817856 has 56 divisors (see below), whose sum is σ = 27310080. Its totient is φ = 5951232.

The previous prime is 12817853. The next prime is 12817859. The reversal of 12817856 is 65871821.

It is an interprime number because it is at equal distance from previous prime (12817853) and next prime (12817859).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12817853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100865 + ... + 100991.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 2^12817856 is an apocalyptic number.

12817856 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 12817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655040).

12817856 is an abundant number, since it is smaller than the sum of its proper divisors (14492224).

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

12817856 is a wasteful number, since it uses less digits than its factorization.

12817856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 12817856 is about 3580.2033461802. The cubic root of 12817856 is about 234.0301419764.

The spelling of 12817856 in words is "twelve million, eight hundred seventeen thousand, eight hundred fifty-six".