7648 has 12 divisors (see below), whose sum is σ = 15120. Its totient is φ = 3808.

The previous prime is 7643. The next prime is 7649. The reversal of 7648 is 8467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643) by changing a digit.

7648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 88 + ... + 151.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

7648 is a deficient number, since it is larger than the sum of its proper divisors (7472).

7648 is a wasteful number, since it uses less digits than its factorization.

7648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 7648 is about 87.4528444363. The cubic root of 7648 is about 19.7022560911.

The spelling of 7648 in words is "seven thousand, six hundred forty-eight".