12708960 has 192 divisors, whose sum is σ = 45722880. Its totient is φ = 2938880.

The previous prime is 12708937. The next prime is 12708961. The reversal of 12708960 is 6980721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12708961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153079 + ... + 153161.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^12708960 is an apocalyptic number.

12708960 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 12708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

12708960 is an abundant number, since it is smaller than the sum of its proper divisors (33013920).

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

12708960 is a wasteful number, since it uses less digits than its factorization.

12708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12708960 is about 3564.9628329058. The cubic root of 12708960 is about 233.3655103018.

The spelling of 12708960 in words is "twelve million, seven hundred eight thousand, nine hundred sixty".