13375936 has 56 divisors (see below), whose sum is σ = 30825440. Its totient is φ = 5640192.

The previous prime is 13375919. The next prime is 13375937. The reversal of 13375936 is 63957331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13375895 and 13375904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13375937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32500 + ... + 32908.

Almost surely, 2^13375936 is an apocalyptic number.

13375936 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 13375936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412720).

13375936 is an abundant number, since it is smaller than the sum of its proper divisors (17449504).

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

13375936 is an equidigital number, since it uses as much as digits as its factorization.

13375936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its digits is 51030, while the sum is 37.

The square root of 13375936 is about 3657.3126746287. The cubic root of 13375936 is about 237.3785070207.

The spelling of 13375936 in words is "thirteen million, three hundred seventy-five thousand, nine hundred thirty-six".