13191936 has 72 divisors (see below), whose sum is σ = 35688240. Its totient is φ = 4325376.

The previous prime is 13191929. The next prime is 13191953. The reversal of 13191936 is 63919131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13191897 and 13191906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68256 + ... + 68448.

It is an arithmetic number, because the mean of its divisors is an integer number (495670).

Almost surely, 2^13191936 is an apocalyptic number.

13191936 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 13191936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844120).

13191936 is an abundant number, since it is smaller than the sum of its proper divisors (22496304).

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

13191936 is an equidigital number, since it uses as much as digits as its factorization.

13191936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its digits is 4374, while the sum is 33.

The square root of 13191936 is about 3632.0704838976. The cubic root of 13191936 is about 236.2850142667.

The spelling of 13191936 in words is "thirteen million, one hundred ninety-one thousand, nine hundred thirty-six".