12968080 has 40 divisors (see below), whose sum is σ = 30357432. Its totient is φ = 5151744.

The previous prime is 12968077. The next prime is 12968129. The reversal of 12968080 is 8086921.

It can be written as a sum of positive squares in 4 ways, for example, as 1024144 + 11943936 = 1012^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13372 + ... + 14308.

Almost surely, 2^12968080 is an apocalyptic number.

12968080 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 12968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178716).

12968080 is an abundant number, since it is smaller than the sum of its proper divisors (17389352).

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

12968080 is a wasteful number, since it uses less digits than its factorization.

12968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 12968080 is about 3601.1220473625. The cubic root of 12968080 is about 234.9408633452.

The spelling of 12968080 in words is "twelve million, nine hundred sixty-eight thousand, eighty".