12803680 has 48 divisors (see below), whose sum is σ = 30968784. Its totient is φ = 4999680.

The previous prime is 12803677. The next prime is 12803683. The reversal of 12803680 is 8630821.

It is an interprime number because it is at equal distance from previous prime (12803677) and next prime (12803683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12803683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5950 + ... + 7810.

It is an arithmetic number, because the mean of its divisors is an integer number (645183).

Almost surely, 2^12803680 is an apocalyptic number.

12803680 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 12803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484392).

12803680 is an abundant number, since it is smaller than the sum of its proper divisors (18165104).

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

12803680 is a wasteful number, since it uses less digits than its factorization.

12803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12803680 is about 3578.2230226748. The cubic root of 12803680 is about 233.9438343784.

The spelling of 12803680 in words is "twelve million, eight hundred three thousand, six hundred eighty".