13038848 has 54 divisors (see below), whose sum is σ = 27400842. Its totient is φ = 6190080.

The previous prime is 13038833. The next prime is 13038853. The reversal of 13038848 is 84883031.

It can be written as a sum of positive squares in only one way, i.e., 12054784 + 984064 = 3472^2 + 992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245990 + ... + 246042.

It is an arithmetic number, because the mean of its divisors is an integer number (507423).

Almost surely, 2^13038848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700421).

13038848 is an abundant number, since it is smaller than the sum of its proper divisors (14361994).

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

13038848 is an frugal number, since it uses more digits than its factorization.

13038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 13038848 is about 3610.9345050831. The cubic root of 13038848 is about 235.3674529056.

The spelling of 13038848 in words is "thirteen million, thirty-eight thousand, eight hundred forty-eight".