12906560 has 56 divisors (see below), whose sum is σ = 31354776. Its totient is φ = 5058560.

The previous prime is 12906559. The next prime is 12906577. The reversal of 12906560 is 6560921.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 12845056 = 248^2 + 3584^2 .

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16580 + ... + 17340.

Almost surely, 2^12906560 is an apocalyptic number.

12906560 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 12906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677388).

12906560 is an abundant number, since it is smaller than the sum of its proper divisors (18448216).

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

12906560 is an equidigital number, since it uses as much as digits as its factorization.

12906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 821 counting only the distinct ones).

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

The square root of 12906560 is about 3592.5701106589. The cubic root of 12906560 is about 234.5687579390.

The spelling of 12906560 in words is "twelve million, nine hundred six thousand, five hundred sixty".