13065920 has 112 divisors (see below), whose sum is σ = 37551360. Its totient is φ = 4230144.

The previous prime is 13065919. The next prime is 13065929. The reversal of 13065920 is 2956031.

13065920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13065920.

It is not an unprimeable number, because it can be changed into a prime (13065929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42407 + ... + 42713.

It is an arithmetic number, because the mean of its divisors is an integer number (335280).

Almost surely, 2^13065920 is an apocalyptic number.

13065920 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 13065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18775680).

13065920 is an abundant number, since it is smaller than the sum of its proper divisors (24485440).

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

13065920 is a wasteful number, since it uses less digits than its factorization.

13065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 13065920 is about 3614.6811754289. The cubic root of 13065920 is about 235.5302347425.

The spelling of 13065920 in words is "thirteen million, sixty-five thousand, nine hundred twenty".