12982896 has 80 divisors (see below), whose sum is σ = 38226720. Its totient is φ = 4216320.

The previous prime is 12982889. The next prime is 12982897. The reversal of 12982896 is 69828921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12982897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17346 + ... + 18078.

It is an arithmetic number, because the mean of its divisors is an integer number (477834).

Almost surely, 2^12982896 is an apocalyptic number.

12982896 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 12982896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113360).

12982896 is an abundant number, since it is smaller than the sum of its proper divisors (25243824).

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

12982896 is a wasteful number, since it uses less digits than its factorization.

12982896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12982896 is about 3603.1785967393. The cubic root of 12982896 is about 235.0303024151.

The spelling of 12982896 in words is "twelve million, nine hundred eighty-two thousand, eight hundred ninety-six".