13085064 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 4245696.

The previous prime is 13084997. The next prime is 13085077. The reversal of 13085064 is 46058031.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 102969 + ... + 103095.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^13085064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

13085064 is an abundant number, since it is smaller than the sum of its proper divisors (24654456).

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

13085064 is a wasteful number, since it uses less digits than its factorization.

13085064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

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

The square root of 13085064 is about 3617.3282958559. The cubic root of 13085064 is about 235.6452104563.

The spelling of 13085064 in words is "thirteen million, eighty-five thousand, sixty-four".