13648384 has 80 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 6082560.

The previous prime is 13648333. The next prime is 13648391. The reversal of 13648384 is 48384631.

It is a super-2 number, since 2×13648384² = 372556771622912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223714 + ... + 223774.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 2^13648384 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 13648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

13648384 is an abundant number, since it is smaller than the sum of its proper divisors (16796096).

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

13648384 is an equidigital number, since it uses as much as digits as its factorization.

13648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 13648384 is about 3694.3719357964. The cubic root of 13648384 is about 238.9793694954.

The spelling of 13648384 in words is "thirteen million, six hundred forty-eight thousand, three hundred eighty-four".