13641696 has 120 divisors (see below), whose sum is σ = 42383880. Its totient is φ = 4292352.

The previous prime is 13641689. The next prime is 13641697. The reversal of 13641696 is 69614631.

13641696 is a `hidden beast` number, since 1 + 3 + 641 + 6 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13641696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49110 + ... + 49386.

It is an arithmetic number, because the mean of its divisors is an integer number (353199).

Almost surely, 2^13641696 is an apocalyptic number.

13641696 is a gapful number since it is divisible by the number (16) 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 13641696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21191940).

13641696 is an abundant number, since it is smaller than the sum of its proper divisors (28742184).

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

13641696 is a wasteful number, since it uses less digits than its factorization.

13641696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13641696 is about 3693.4666642600. The cubic root of 13641696 is about 238.9403281173.

The spelling of 13641696 in words is "thirteen million, six hundred forty-one thousand, six hundred ninety-six".