13431936 has 128 divisors (see below), whose sum is σ = 43084800. Its totient is φ = 3621888.

The previous prime is 13431923. The next prime is 13431937. The reversal of 13431936 is 63913431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50941 + ... + 51203.

It is an arithmetic number, because the mean of its divisors is an integer number (336600).

Almost surely, 2^13431936 is an apocalyptic number.

13431936 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 13431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542400).

13431936 is an abundant number, since it is smaller than the sum of its proper divisors (29652864).

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

13431936 is a wasteful number, since it uses less digits than its factorization.

13431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 13431936 is about 3664.9605727756. The cubic root of 13431936 is about 237.7093172215.

The spelling of 13431936 in words is "thirteen million, four hundred thirty-one thousand, nine hundred thirty-six".