13530820 has 48 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 5089280.

The previous prime is 13530809. The next prime is 13530823. The reversal of 13530820 is 2803531.

It can be written as a sum of positive squares in 8 ways, for example, as 3392964 + 10137856 = 1842^2 + 3184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13530791 and 13530800.

It is not an unprimeable number, because it can be changed into a prime (13530823) 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 15 ways as a sum of consecutive naturals, for example, 23496 + ... + 24064.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^13530820 is an apocalyptic number.

13530820 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 13530820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

13530820 is an abundant number, since it is smaller than the sum of its proper divisors (16633580).

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

13530820 is a wasteful number, since it uses less digits than its factorization.

13530820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13530820 is about 3678.4262939469. The cubic root of 13530820 is about 238.2912189702.

The spelling of 13530820 in words is "thirteen million, five hundred thirty thousand, eight hundred twenty".