12848640 has 160 divisors (see below), whose sum is σ = 47139840. Its totient is φ = 2924544.

The previous prime is 12848623. The next prime is 12848659. The reversal of 12848640 is 4684821.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 53641 + ... + 53879.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^12848640 is an apocalyptic number.

12848640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3584×3585.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

12848640 is an abundant number, since it is smaller than the sum of its proper divisors (34291200).

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

12848640 is an equidigital number, since it uses as much as digits as its factorization.

12848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12848640 is about 3584.4999651276. The cubic root of 12848640 is about 234.2173449976.

The spelling of 12848640 in words is "twelve million, eight hundred forty-eight thousand, six hundred forty".