13536320 has 56 divisors (see below), whose sum is σ = 36844224. Its totient is φ = 4640256.

The previous prime is 13536293. The next prime is 13536331. The reversal of 13536320 is 2363531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782 + ... + 5261.

Almost surely, 2^13536320 is an apocalyptic number.

13536320 is a gapful number since it is divisible by the number (10) 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 13536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18422112).

13536320 is an abundant number, since it is smaller than the sum of its proper divisors (23307904).

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

13536320 is an equidigital number, since it uses as much as digits as its factorization.

13536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 13536320 is about 3679.1738203026. The cubic root of 13536320 is about 238.3235014228.

Adding to 13536320 its reverse (2363531), we get a palindrome (15899851).

The spelling of 13536320 in words is "thirteen million, five hundred thirty-six thousand, three hundred twenty".