12979960 has 64 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 4406400.

The previous prime is 12979931. The next prime is 12979961. The reversal of 12979960 is 6997921.

12979960 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 not an unprimeable number, because it can be changed into a prime (12979961) 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, 42127 + ... + 42433.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 2^12979960 is an apocalyptic number.

12979960 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 12979960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

12979960 is an abundant number, since it is smaller than the sum of its proper divisors (20727560).

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

12979960 is a wasteful number, since it uses less digits than its factorization.

12979960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 12979960 is about 3602.7711556523. The cubic root of 12979960 is about 235.0125842061.

It can be divided in two parts, 129 and 79960, that added together give a square (80089 = 283²).

The spelling of 12979960 in words is "twelve million, nine hundred seventy-nine thousand, nine hundred sixty".