13084520 has 32 divisors (see below), whose sum is σ = 29850120. Its totient is φ = 5160960.

The previous prime is 13084517. The next prime is 13084523. The reversal of 13084520 is 2548031.

It is an interprime number because it is at equal distance from previous prime (13084517) and next prime (13084523).

It can be written as a sum of positive squares in 4 ways, for example, as 12096484 + 988036 = 3478^2 + 994^2 .

It is not an unprimeable number, because it can be changed into a prime (13084523) 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, 680 + ... + 5160.

Almost surely, 2^13084520 is an apocalyptic number.

13084520 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 13084520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925060).

13084520 is an abundant number, since it is smaller than the sum of its proper divisors (16765600).

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

13084520 is a wasteful number, since it uses less digits than its factorization.

13084520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13084520 is about 3617.2531014570. The cubic root of 13084520 is about 235.6419448304.

The spelling of 13084520 in words is "thirteen million, eighty-four thousand, five hundred twenty".