13378048 has 80 divisors (see below), whose sum is σ = 29830680. Its totient is φ = 5963776.

The previous prime is 13378009. The next prime is 13378063. The reversal of 13378048 is 84087331.

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 186624 = 3632^2 + 432^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252390 + ... + 252442.

Almost surely, 2^13378048 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 13378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915340).

13378048 is an abundant number, since it is smaller than the sum of its proper divisors (16452632).

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

13378048 is an equidigital number, since it uses as much as digits as its factorization.

13378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 13378048 is about 3657.6013998248. The cubic root of 13378048 is about 237.3910000286.

The spelling of 13378048 in words is "thirteen million, three hundred seventy-eight thousand, forty-eight".