13520320 has 112 divisors (see below), whose sum is σ = 36868608. Its totient is φ = 4674560.

The previous prime is 13520303. The next prime is 13520333. The reversal of 13520320 is 2302531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13520294 and 13520303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80877 + ... + 81043.

It is an arithmetic number, because the mean of its divisors is an integer number (329184).

Almost surely, 2^13520320 is an apocalyptic number.

13520320 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 13520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434304).

13520320 is an abundant number, since it is smaller than the sum of its proper divisors (23348288).

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

13520320 is a wasteful number, since it uses less digits than its factorization.

13520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13520320 is about 3676.9987761760. The cubic root of 13520320 is about 238.2295645328.

Adding to 13520320 its reverse (2302531), we get a palindrome (15822851).

It can be divided in two parts, 13520 and 320, that multiplied together give a square (4326400 = 2080²).

The spelling of 13520320 in words is "thirteen million, five hundred twenty thousand, three hundred twenty".