12838560 has 96 divisors (see below), whose sum is σ = 46230912. Its totient is φ = 2933760.

The previous prime is 12838559. The next prime is 12838571. The reversal of 12838560 is 6583821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^12838560 is an apocalyptic number.

12838560 is a gapful number since it is divisible by the number (10) 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 12838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

12838560 is an abundant number, since it is smaller than the sum of its proper divisors (33392352).

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

12838560 is a wasteful number, since it uses less digits than its factorization.

12838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 12838560 is about 3583.0936353939. The cubic root of 12838560 is about 234.1560796678.

The spelling of 12838560 in words is "twelve million, eight hundred thirty-eight thousand, five hundred sixty".