12873680 has 80 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 4784640.

The previous prime is 12873673. The next prime is 12873683. The reversal of 12873680 is 8637821.

12873680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12873680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12873683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71831 + ... + 72009.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^12873680 is an apocalyptic number.

12873680 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 12873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12873680 is an abundant number, since it is smaller than the sum of its proper divisors (19267120).

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

12873680 is a wasteful number, since it uses less digits than its factorization.

12873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 12873680 is about 3587.9910813713. The cubic root of 12873680 is about 234.3693973179.

The spelling of 12873680 in words is "twelve million, eight hundred seventy-three thousand, six hundred eighty".