13346320 has 80 divisors (see below), whose sum is σ = 34341552. Its totient is φ = 4792320.

The previous prime is 13346299. The next prime is 13346321. The reversal of 13346320 is 2364331.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 5143824 = 2864^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13346291 and 13346300.

It is not an unprimeable number, because it can be changed into a prime (13346321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42484 + ... + 42796.

Almost surely, 2^13346320 is an apocalyptic number.

13346320 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 13346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170776).

13346320 is an abundant number, since it is smaller than the sum of its proper divisors (20995232).

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

13346320 is a wasteful number, since it uses less digits than its factorization.

13346320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 13346320 is about 3653.2615564725. The cubic root of 13346320 is about 237.2031822973.

The spelling of 13346320 in words is "thirteen million, three hundred forty-six thousand, three hundred twenty".