13666536 has 128 divisors (see below), whose sum is σ = 42470400. Its totient is φ = 4043520.

The previous prime is 13666517. The next prime is 13666537. The reversal of 13666536 is 63566631.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (58320) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 13666536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13666537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86970 + ... + 87126.

It is an arithmetic number, because the mean of its divisors is an integer number (331800).

Almost surely, 2^13666536 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 13666536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21235200).

13666536 is an abundant number, since it is smaller than the sum of its proper divisors (28803864).

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

13666536 is a wasteful number, since it uses less digits than its factorization.

13666536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 13666536 is about 3696.8278293694. The cubic root of 13666536 is about 239.0852680353.

It can be divided in two parts, 1366653 and 6, that multiplied together give a palindrome (8199918).

The spelling of 13666536 in words is "thirteen million, six hundred sixty-six thousand, five hundred thirty-six".