13647648 has 96 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 3725568.

The previous prime is 13647637. The next prime is 13647649. The reversal of 13647648 is 84674631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13647649) 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, 15015 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 2^13647648 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 13647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

13647648 is an abundant number, since it is smaller than the sum of its proper divisors (29123808).

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

13647648 is a wasteful number, since it uses less digits than its factorization.

13647648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 918 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 13647648 is about 3694.2723234759. The cubic root of 13647648 is about 238.9750737004.

The spelling of 13647648 in words is "thirteen million, six hundred forty-seven thousand, six hundred forty-eight".