13226580 has 72 divisors (see below), whose sum is σ = 40432392. Its totient is φ = 3499776.

The previous prime is 13226579. The next prime is 13226593. The reversal of 13226580 is 8562231.

13226580 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 658 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 8191044 = 2244^2 + 2862^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35274 + ... + 35646.

It is an arithmetic number, because the mean of its divisors is an integer number (561561).

Almost surely, 2^13226580 is an apocalyptic number.

13226580 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 13226580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216196).

13226580 is an abundant number, since it is smaller than the sum of its proper divisors (27205812).

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

13226580 is a wasteful number, since it uses less digits than its factorization.

13226580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13226580 is about 3636.8365374319. The cubic root of 13226580 is about 236.4916734133.

The spelling of 13226580 in words is "thirteen million, two hundred twenty-six thousand, five hundred eighty".