12838896 has 120 divisors (see below), whose sum is σ = 42092544. Its totient is φ = 3576960.

The previous prime is 12838877. The next prime is 12838907. The reversal of 12838896 is 69883821.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47241 + ... + 47511.

Almost surely, 2^12838896 is an apocalyptic number.

12838896 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 12838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046272).

12838896 is an abundant number, since it is smaller than the sum of its proper divisors (29253648).

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

12838896 is a wasteful number, since it uses less digits than its factorization.

12838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12838896 is about 3583.1405219444. The cubic root of 12838896 is about 234.1581223620.

The spelling of 12838896 in words is "twelve million, eight hundred thirty-eight thousand, eight hundred ninety-six".