13020720 has 80 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3442432.

The previous prime is 13020703. The next prime is 13020727. The reversal of 13020720 is 2702031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13020720.

It is not an unprimeable number, because it can be changed into a prime (13020727) by changing a digit.

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, 54361 + ... + 54599.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^13020720 is an apocalyptic number.

13020720 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 13020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

13020720 is an abundant number, since it is smaller than the sum of its proper divisors (27690960).

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

13020720 is a wasteful number, since it uses less digits than its factorization.

13020720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13020720 is about 3608.4234784737. The cubic root of 13020720 is about 235.2583246535.

Adding to 13020720 its reverse (2702031), we get a palindrome (15722751).

The spelling of 13020720 in words is "thirteen million, twenty thousand, seven hundred twenty".