13275936 has 72 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4279680.

The previous prime is 13275931. The next prime is 13275937. The reversal of 13275936 is 63957231.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13275936.

It is not an unprimeable number, because it can be changed into a prime (13275931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8185 + ... + 9671.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^13275936 is an apocalyptic number.

13275936 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 13275936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13275936 is an abundant number, since it is smaller than the sum of its proper divisors (25721568).

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

13275936 is a wasteful number, since it uses less digits than its factorization.

13275936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1523 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13275936 is about 3643.6157865505. The cubic root of 13275936 is about 236.7854705597.

The spelling of 13275936 in words is "thirteen million, two hundred seventy-five thousand, nine hundred thirty-six".