12968320 has 64 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 4956160.

The previous prime is 12968303. The next prime is 12968321. The reversal of 12968320 is 2386921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12968321) 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, 14280 + ... + 15160.

Almost surely, 2^12968320 is an apocalyptic number.

12968320 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 12968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

12968320 is an abundant number, since it is smaller than the sum of its proper divisors (19418720).

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

12968320 is an equidigital number, since it uses as much as digits as its factorization.

12968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 12968320 is about 3601.1553701555. The cubic root of 12968320 is about 234.9423126849.

The spelling of 12968320 in words is "twelve million, nine hundred sixty-eight thousand, three hundred twenty".