13036320 has 144 divisors (see below), whose sum is σ = 48589632. Its totient is φ = 3156480.

The previous prime is 13036313. The next prime is 13036327. The reversal of 13036320 is 2363031.

It is a happy number.

13036320 is a `hidden beast` number, since 1 + 30 + 3 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13036313) and next prime (13036327).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13036293 and 13036302.

It is not an unprimeable number, because it can be changed into a prime (13036327) 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 23 ways as a sum of consecutive naturals, for example, 15429 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (337428).

Almost surely, 2^13036320 is an apocalyptic number.

13036320 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 13036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24294816).

13036320 is an abundant number, since it is smaller than the sum of its proper divisors (35553312).

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

13036320 is a wasteful number, since it uses less digits than its factorization.

13036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13036320 is about 3610.5844402257. The cubic root of 13036320 is about 235.3522407391.

Adding to 13036320 its reverse (2363031), we get a palindrome (15399351).

Subtracting from 13036320 its reverse (2363031), we obtain a square (10673289 = 3267²).

The spelling of 13036320 in words is "thirteen million, thirty-six thousand, three hundred twenty".