4648 has 16 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1968.

The previous prime is 4643. The next prime is 4649. The reversal of 4648 is 8464.

It is a d-powerful number, because it can be written as 4 + 4⁶ + 6² + 8³ .

Its product of digits (768) is a multiple of the sum of its prime factors (96).

It is a plaindrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4643) by changing a digit.

4648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

4648 is an abundant number, since it is smaller than the sum of its proper divisors (5432).

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

4648 is a wasteful number, since it uses less digits than its factorization.

4648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 4648 is about 68.1762421962. The cubic root of 4648 is about 16.6886820178.

The spelling of 4648 in words is "four thousand, six hundred forty-eight".