23648 has 12 divisors (see below), whose sum is σ = 46620. Its totient is φ = 11808.

The previous prime is 23633. The next prime is 23663. The reversal of 23648 is 84632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23633) and next prime (23663).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23648.

It is an unprimeable number.

23648 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 as a sum of consecutive naturals, namely, 338 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (3885).

2²³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

23648 is a deficient number, since it is larger than the sum of its proper divisors (22972).

23648 is an equidigital number, since it uses as much as digits as its factorization.

23648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 23648 is about 153.7790622939. The cubic root of 23648 is about 28.7032763441.

The spelling of 23648 in words is "twenty-three thousand, six hundred forty-eight".