13506336 has 72 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4304256.

The previous prime is 13506331. The next prime is 13506371. The reversal of 13506336 is 63360531.

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

It is a super-2 number, since 2×13506336² = 364842224289792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13506331) 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, 5605 + ... + 7643.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 2^13506336 is an apocalyptic number.

13506336 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 13506336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13506336 is an abundant number, since it is smaller than the sum of its proper divisors (26591904).

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

13506336 is a wasteful number, since it uses less digits than its factorization.

13506336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 13506336 is about 3675.0967334208. The cubic root of 13506336 is about 238.1474029804.

Adding to 13506336 its reverse (63360531), we get a palindrome (76866867).

The spelling of 13506336 in words is "thirteen million, five hundred six thousand, three hundred thirty-six".