11648 has 32 divisors (see below), whose sum is σ = 28560. Its totient is φ = 4608.

The previous prime is 11633. The next prime is 11657. The reversal of 11648 is 84611.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 890 + ... + 902.

2¹¹⁶⁴⁸ 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 11648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280).

11648 is an abundant number, since it is smaller than the sum of its proper divisors (16912).

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

11648 is an equidigital number, since it uses as much as digits as its factorization.

11648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 22 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 11648 is about 107.9259005059. The cubic root of 11648 is about 22.6682044324.

Subtracting from 11648 its sum of digits (20), we obtain a triangular number (11628 = T₁₅₂).

The spelling of 11648 in words is "eleven thousand, six hundred forty-eight".