13406336 has 64 divisors (see below), whose sum is σ = 29027160. Its totient is φ = 6144000.

The previous prime is 13406317. The next prime is 13406339. The reversal of 13406336 is 63360431.

It can be written as a sum of positive squares in 4 ways, for example, as 12559936 + 846400 = 3544^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13406339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132686 + ... + 132786.

Almost surely, 2^13406336 is an apocalyptic number.

13406336 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 13406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513580).

13406336 is an abundant number, since it is smaller than the sum of its proper divisors (15620824).

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

13406336 is a wasteful number, since it uses less digits than its factorization.

13406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 13406336 is about 3661.4663729167. The cubic root of 13406336 is about 237.5582040174.

Adding to 13406336 its reverse (63360431), we get a palindrome (76766767).

The spelling of 13406336 in words is "thirteen million, four hundred six thousand, three hundred thirty-six".