13736320 has 96 divisors (see below), whose sum is σ = 35838720. Its totient is φ = 5031936.

The previous prime is 13736309. The next prime is 13736329. The reversal of 13736320 is 2363731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13736329) 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, 108097 + ... + 108223.

It is an arithmetic number, because the mean of its divisors is an integer number (373320).

Almost surely, 2^13736320 is an apocalyptic number.

13736320 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 13736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360).

13736320 is an abundant number, since it is smaller than the sum of its proper divisors (22102400).

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

13736320 is a wasteful number, since it uses less digits than its factorization.

13736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 13736320 is about 3706.2541736907. The cubic root of 13736320 is about 239.4915160370.

The spelling of 13736320 in words is "thirteen million, seven hundred thirty-six thousand, three hundred twenty".