13206564 has 84 divisors (see below), whose sum is σ = 39662784. Its totient is φ = 3767472.

The previous prime is 13206563. The next prime is 13206581. The reversal of 13206564 is 46560231.

13206564 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 656 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206563) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20089 + ... + 20735.

It is an arithmetic number, because the mean of its divisors is an integer number (472176).

Almost surely, 2^13206564 is an apocalyptic number.

13206564 is a gapful number since it is divisible by the number (14) 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 13206564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831392).

13206564 is an abundant number, since it is smaller than the sum of its proper divisors (26456220).

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

13206564 is an equidigital number, since it uses as much as digits as its factorization.

13206564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 13206564 is about 3634.0836534125. The cubic root of 13206564 is about 236.3723176119.

Adding to 13206564 its reverse (46560231), we get a palindrome (59766795).

The spelling of 13206564 in words is "thirteen million, two hundred six thousand, five hundred sixty-four".