13284820 has 48 divisors (see below), whose sum is σ = 30291408. Its totient is φ = 4874240.

The previous prime is 13284809. The next prime is 13284839. The reversal of 13284820 is 2848231.

It can be written as a sum of positive squares in 8 ways, for example, as 795664 + 12489156 = 892^2 + 3534^2 .

It is a congruent number.

It is an unprimeable number.

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, 13464 + ... + 14416.

It is an arithmetic number, because the mean of its divisors is an integer number (631071).

Almost surely, 2^13284820 is an apocalyptic number.

13284820 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 13284820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145704).

13284820 is an abundant number, since it is smaller than the sum of its proper divisors (17006588).

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

13284820 is a wasteful number, since it uses less digits than its factorization.

13284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 13284820 is about 3644.8347013273. The cubic root of 13284820 is about 236.8382762041.

The spelling of 13284820 in words is "thirteen million, two hundred eighty-four thousand, eight hundred twenty".