13205864 has 32 divisors (see below), whose sum is σ = 29531520. Its totient is φ = 5413056.

The previous prime is 13205849. The next prime is 13205869. The reversal of 13205864 is 46850231.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13205869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3839 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (922860).

Almost surely, 2^13205864 is an apocalyptic number.

13205864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13205864 is an abundant number, since it is smaller than the sum of its proper divisors (16325656).

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

13205864 is a wasteful number, since it uses less digits than its factorization.

13205864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10285 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 13205864 is about 3633.9873417501. The cubic root of 13205864 is about 236.3681413163.

The spelling of 13205864 in words is "thirteen million, two hundred five thousand, eight hundred sixty-four".