12962560 has 144 divisors (see below), whose sum is σ = 36056160. Its totient is φ = 4423680.

The previous prime is 12962539. The next prime is 12962563. The reversal of 12962560 is 6526921.

It is not an unprimeable number, because it can be changed into a prime (12962563) 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, 316140 + ... + 316180.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

Almost surely, 2^12962560 is an apocalyptic number.

12962560 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 12962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028080).

12962560 is an abundant number, since it is smaller than the sum of its proper divisors (23093600).

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

12962560 is a wasteful number, since it uses less digits than its factorization.

12962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 12962560 is about 3600.3555379990. The cubic root of 12962560 is about 234.9075235957.

The spelling of 12962560 in words is "twelve million, nine hundred sixty-two thousand, five hundred sixty".