13581936 has 60 divisors (see below), whose sum is σ = 38262432. Its totient is φ = 4497408.

The previous prime is 13581907. The next prime is 13581959. The reversal of 13581936 is 63918531.

It is a happy number.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13581936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36825 + ... + 37191.

Almost surely, 2^13581936 is an apocalyptic number.

13581936 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 13581936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131216).

13581936 is an abundant number, since it is smaller than the sum of its proper divisors (24680496).

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

13581936 is a wasteful number, since it uses less digits than its factorization.

13581936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

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

The square root of 13581936 is about 3685.3678242477. The cubic root of 13581936 is about 238.5909097943.

The spelling of 13581936 in words is "thirteen million, five hundred eighty-one thousand, nine hundred thirty-six".