13305620 has 24 divisors (see below), whose sum is σ = 28014504. Its totient is φ = 5308416.

The previous prime is 13305601. The next prime is 13305641. The reversal of 13305620 is 2650331.

It can be written as a sum of positive squares in 4 ways, for example, as 7214596 + 6091024 = 2686^2 + 2468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13305592 and 13305601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10964 + ... + 12116.

It is an arithmetic number, because the mean of its divisors is an integer number (1167271).

Almost surely, 2^13305620 is an apocalyptic number.

13305620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305620 is an abundant number, since it is smaller than the sum of its proper divisors (14708884).

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

13305620 is a wasteful number, since it uses less digits than its factorization.

13305620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 13305620 is about 3647.6869383213. The cubic root of 13305620 is about 236.9618173932.

13305620 divided by its sum of digits (20) gives a triangular number (665281 = T₁₁₅₃).

Adding to 13305620 its reverse (2650331), we get a palindrome (15955951).

The spelling of 13305620 in words is "thirteen million, three hundred five thousand, six hundred twenty".