13085720 has 64 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 4953600.

The previous prime is 13085713. The next prime is 13085729. The reversal of 13085720 is 2758031.

It is a self number, because there is not a number n which added to its sum of digits gives 13085720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75554 + ... + 75726.

It is an arithmetic number, because the mean of its divisors is an integer number (485460).

Almost surely, 2^13085720 is an apocalyptic number.

13085720 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 13085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

13085720 is an abundant number, since it is smaller than the sum of its proper divisors (17983720).

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

13085720 is a wasteful number, since it uses less digits than its factorization.

13085720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 13085720 is about 3617.4189693758. The cubic root of 13085720 is about 235.6491482965.

The spelling of 13085720 in words is "thirteen million, eighty-five thousand, seven hundred twenty".