12982560 has 192 divisors, whose sum is σ = 45505152. Its totient is φ = 3096576.

The previous prime is 12982559. The next prime is 12982573. The reversal of 12982560 is 6528921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301899 + ... + 301941.

It is an arithmetic number, because the mean of its divisors is an integer number (237006).

Almost surely, 2^12982560 is an apocalyptic number.

12982560 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 12982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

12982560 is an abundant number, since it is smaller than the sum of its proper divisors (32522592).

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

12982560 is a wasteful number, since it uses less digits than its factorization.

12982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12982560 is about 3603.1319709386. The cubic root of 12982560 is about 235.0282748535.

The spelling of 12982560 in words is "twelve million, nine hundred eighty-two thousand, five hundred sixty".