13578648 has 64 divisors (see below), whose sum is σ = 37532160. Its totient is φ = 4071936.

The previous prime is 13578647. The next prime is 13578659. The reversal of 13578648 is 84687531.

13578648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13578647) 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, 8661 + ... + 10107.

It is an arithmetic number, because the mean of its divisors is an integer number (586440).

Almost surely, 2^13578648 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 13578648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766080).

13578648 is an abundant number, since it is smaller than the sum of its proper divisors (23953512).

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

13578648 is a wasteful number, since it uses less digits than its factorization.

13578648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 13578648 is about 3684.9217088020. The cubic root of 13578648 is about 238.5716550473.

The spelling of 13578648 in words is "thirteen million, five hundred seventy-eight thousand, six hundred forty-eight".