12662560 has 48 divisors (see below), whose sum is σ = 30958200. Its totient is φ = 4888576.

The previous prime is 12662549. The next prime is 12662567. The reversal of 12662560 is 6526621.

It can be written as a sum of positive squares in 4 ways, for example, as 12362256 + 300304 = 3516^2 + 548^2 .

It is not an unprimeable number, because it can be changed into a prime (12662567) 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, 3276 + ... + 6004.

Almost surely, 2^12662560 is an apocalyptic number.

12662560 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 12662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479100).

12662560 is an abundant number, since it is smaller than the sum of its proper divisors (18295640).

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

12662560 is a wasteful number, since it uses less digits than its factorization.

12662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 12662560 is about 3558.4491003807. The cubic root of 12662560 is about 233.0811606717.

The spelling of 12662560 in words is "twelve million, six hundred sixty-two thousand, five hundred sixty".