13815936 has 96 divisors (see below), whose sum is σ = 40575600. Its totient is φ = 4511232.

The previous prime is 13815913. The next prime is 13815937. The reversal of 13815936 is 63951831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13815936.

It is not an unprimeable number, because it can be changed into a prime (13815937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77095 + ... + 77273.

Almost surely, 2^13815936 is an apocalyptic number.

13815936 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 13815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287800).

13815936 is an abundant number, since it is smaller than the sum of its proper divisors (26759664).

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

13815936 is a wasteful number, since it uses less digits than its factorization.

13815936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 13815936 is about 3716.9794188292. The cubic root of 13815936 is about 239.9533242563.

The spelling of 13815936 in words is "thirteen million, eight hundred fifteen thousand, nine hundred thirty-six".