13626560 has 56 divisors (see below), whose sum is σ = 32857440. Its totient is φ = 5382144.

The previous prime is 13626559. The next prime is 13626601. The reversal of 13626560 is 6562631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30821 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (586740).

Almost surely, 2^13626560 is an apocalyptic number.

13626560 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 13626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428720).

13626560 is an abundant number, since it is smaller than the sum of its proper divisors (19230880).

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

13626560 is an equidigital number, since it uses as much as digits as its factorization.

13626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 13626560 is about 3691.4170720741. The cubic root of 13626560 is about 238.8519241726.

The spelling of 13626560 in words is "thirteen million, six hundred twenty-six thousand, five hundred sixty".