13038480 has 240 divisors, whose sum is σ = 54163200. Its totient is φ = 2737152.

The previous prime is 13038437. The next prime is 13038481. The reversal of 13038480 is 8483031.

13038480 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 (240).

It is not an unprimeable number, because it can be changed into a prime (13038481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65421 + ... + 65619.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^13038480 is an apocalyptic number.

13038480 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 13038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600).

13038480 is an abundant number, since it is smaller than the sum of its proper divisors (41124720).

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

13038480 is a wasteful number, since it uses less digits than its factorization.

13038480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13038480 is about 3610.8835483854. The cubic root of 13038480 is about 235.3652385986.

The spelling of 13038480 in words is "thirteen million, thirty-eight thousand, four hundred eighty".