13085600 has 72 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 4755200.

The previous prime is 13085561. The next prime is 13085603. The reversal of 13085600 is 658031.

13085600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13085603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8057 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^13085600 is an apocalyptic number.

13085600 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 13085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

13085600 is an abundant number, since it is smaller than the sum of its proper divisors (21787168).

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

13085600 is a wasteful number, since it uses less digits than its factorization.

13085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13085600 is about 3617.4023829262. The cubic root of 13085600 is about 235.6484279697.

The spelling of 13085600 in words is "thirteen million, eighty-five thousand, six hundred".