13185936 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4343040.

The previous prime is 13185919. The next prime is 13185947. The reversal of 13185936 is 63958131.

It is a happy number.

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 13185936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56476 + ... + 56708.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^13185936 is an apocalyptic number.

13185936 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 13185936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13185936 is an abundant number, since it is smaller than the sum of its proper divisors (25115184).

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

13185936 is a wasteful number, since it uses less digits than its factorization.

13185936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

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

The square root of 13185936 is about 3631.2444147978. The cubic root of 13185936 is about 236.2491861902.

The spelling of 13185936 in words is "thirteen million, one hundred eighty-five thousand, nine hundred thirty-six".