13006320 has 40 divisors (see below), whose sum is σ = 40320336. Its totient is φ = 3468288.

The previous prime is 13006291. The next prime is 13006321. The reversal of 13006320 is 2360031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13006320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26857 + ... + 27336.

Almost surely, 2^13006320 is an apocalyptic number.

13006320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006320 is an abundant number, since it is smaller than the sum of its proper divisors (27314016).

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

13006320 is a wasteful number, since it uses less digits than its factorization.

13006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54209 (or 54203 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13006320 is about 3606.4275952804. The cubic root of 13006320 is about 235.1715662791.

Adding to 13006320 its reverse (2360031), we get a palindrome (15366351).

The spelling of 13006320 in words is "thirteen million, six thousand, three hundred twenty".