12968480 has 48 divisors (see below), whose sum is σ = 35017920. Its totient is φ = 4445952.

The previous prime is 12968479. The next prime is 12968489. The reversal of 12968480 is 8486921.

12968480 is nontrivially palindromic in base 9.

It is not an unprimeable number, because it can be changed into a prime (12968489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4670 + ... + 6909.

It is an arithmetic number, because the mean of its divisors is an integer number (729540).

Almost surely, 2^12968480 is an apocalyptic number.

12968480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12968480 is an abundant number, since it is smaller than the sum of its proper divisors (22049440).

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

12968480 is a wasteful number, since it uses less digits than its factorization.

12968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 12968480 is about 3601.1775851796. The cubic root of 12968480 is about 234.9432789015.

The spelling of 12968480 in words is "twelve million, nine hundred sixty-eight thousand, four hundred eighty".