13626980 has 36 divisors (see below), whose sum is σ = 29611260. Its totient is φ = 5267520.

The previous prime is 13626967. The next prime is 13626997. The reversal of 13626980 is 8962631.

It can be written as a sum of positive squares in 2 ways, for example, as 3232804 + 10394176 = 1798^2 + 3224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13626980.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18866 + ... + 19574.

It is an arithmetic number, because the mean of its divisors is an integer number (822535).

Almost surely, 2^13626980 is an apocalyptic number.

13626980 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 13626980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805630).

13626980 is an abundant number, since it is smaller than the sum of its proper divisors (15984280).

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

13626980 is a wasteful number, since it uses less digits than its factorization.

13626980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 13626980 is about 3691.4739603578. The cubic root of 13626980 is about 238.8543781247.

The spelling of 13626980 in words is "thirteen million, six hundred twenty-six thousand, nine hundred eighty".