13085616 has 40 divisors (see below), whose sum is σ = 34015680. Its totient is φ = 4334656.

The previous prime is 13085603. The next prime is 13085617. The reversal of 13085616 is 61658031.

It is not an unprimeable number, because it can be changed into a prime (13085617) by changing a digit.

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, 7831 + ... + 9353.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 2^13085616 is an apocalyptic number.

13085616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13085616 is an abundant number, since it is smaller than the sum of its proper divisors (20930064).

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

13085616 is a wasteful number, since it uses less digits than its factorization.

13085616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13085616 is about 3617.4045944572. The cubic root of 13085616 is about 235.6485240136.

The spelling of 13085616 in words is "thirteen million, eighty-five thousand, six hundred sixteen".