123648 has 72 divisors (see below), whose sum is σ = 392448. Its totient is φ = 33792.

The previous prime is 123637. The next prime is 123653. The reversal of 123648 is 846321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5365 + ... + 5387.

123648 is a Friedman number, since it can be written as 483*16^2, using all its digits and the basic arithmetic operations.

2¹²³⁶⁴⁸ 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 123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196224).

123648 is an abundant number, since it is smaller than the sum of its proper divisors (268800).

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

123648 is an equidigital number, since it uses as much as digits as its factorization.

123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 123648 is about 351.6361756134. The cubic root of 123648 is about 49.8190794782.

Adding to 123648 its reverse (846321), we get a palindrome (969969).

The spelling of 123648 in words is "one hundred twenty-three thousand, six hundred forty-eight".