13327936 has 56 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 6246912.

The previous prime is 13327933. The next prime is 13327939. The reversal of 13327936 is 63972331.

It is an interprime number because it is at equal distance from previous prime (13327933) and next prime (13327939).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13327933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79725 + ... + 79891.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^13327936 is an apocalyptic number.

13327936 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 13327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

13327936 is an abundant number, since it is smaller than the sum of its proper divisors (14835584).

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

13327936 is a wasteful number, since it uses less digits than its factorization.

13327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its digits is 20412, while the sum is 34.

The square root of 13327936 is about 3650.7445815888. The cubic root of 13327936 is about 237.0942197497.

The spelling of 13327936 in words is "thirteen million, three hundred twenty-seven thousand, nine hundred thirty-six".