12560960 has 56 divisors (see below), whose sum is σ = 31683960. Its totient is φ = 4726784.

The previous prime is 12560939. The next prime is 12560963. The reversal of 12560960 is 6906521.

12560960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 7929856 = 2152^2 + 2816^2 .

It is a super-2 number, since 2×12560960² = 315555432243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12560963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4286 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (565785).

Almost surely, 2^12560960 is an apocalyptic number.

12560960 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 12560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841980).

12560960 is an abundant number, since it is smaller than the sum of its proper divisors (19123000).

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

12560960 is a wasteful number, since it uses less digits than its factorization.

12560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 12560960 is about 3544.1444665815. The cubic root of 12560960 is about 232.4560983898.

The spelling of 12560960 in words is "twelve million, five hundred sixty thousand, nine hundred sixty".