12975680 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 4730880.

The previous prime is 12975679. The next prime is 12975707. The reversal of 12975680 is 8657921.

12975680 = T₇₇₅ + T₇₇₆ + ... + T₈₁₅.

12975680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301739 + ... + 301781.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 2^12975680 is an apocalyptic number.

12975680 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 12975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

12975680 is an abundant number, since it is smaller than the sum of its proper divisors (20820544).

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

12975680 is a wasteful number, since it uses less digits than its factorization.

12975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 12975680 is about 3602.1771194654. The cubic root of 12975680 is about 234.9867504224.

The spelling of 12975680 in words is "twelve million, nine hundred seventy-five thousand, six hundred eighty".