12839040 has 128 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 3419136.

The previous prime is 12839023. The next prime is 12839087. The reversal of 12839040 is 4093821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12838995 and 12839013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16909 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^12839040 is an apocalyptic number.

12839040 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 12839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

12839040 is an abundant number, since it is smaller than the sum of its proper divisors (32693760).

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

12839040 is an equidigital number, since it uses as much as digits as its factorization.

12839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12839040 is about 3583.1606159925. The cubic root of 12839040 is about 234.1589977915.

The spelling of 12839040 in words is "twelve million, eight hundred thirty-nine thousand, forty".