13082320 has 40 divisors (see below), whose sum is σ = 31131936. Its totient is φ = 5109888.

The previous prime is 13082297. The next prime is 13082323. The reversal of 13082320 is 2328031.

It is a happy number.

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

It is a super-2 number, since 2×13082320² = 342294193164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082323) 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, 1539 + ... + 5341.

Almost surely, 2^13082320 is an apocalyptic number.

13082320 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 13082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15565968).

13082320 is an abundant number, since it is smaller than the sum of its proper divisors (18049616).

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

13082320 is a wasteful number, since it uses less digits than its factorization.

13082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13082320 is about 3616.9489905167. The cubic root of 13082320 is about 235.6287373319.

The spelling of 13082320 in words is "thirteen million, eighty-two thousand, three hundred twenty".