120648 has 32 divisors (see below), whose sum is σ = 329760. Its totient is φ = 36480.

The previous prime is 120647. The next prime is 120661. The reversal of 120648 is 846021.

120648 is a modest number, since divided by 648 gives 120 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120648.

It is not an unprimeable number, because it can be changed into a prime (120641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (10305).

2¹²⁰⁶⁴⁸ 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 120648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164880).

120648 is an abundant number, since it is smaller than the sum of its proper divisors (209112).

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

120648 is a wasteful number, since it uses less digits than its factorization.

120648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 120648 is about 347.3442096826. The cubic root of 120648 is about 49.4128657885.

Adding to 120648 its reverse (846021), we get a palindrome (966669).

The spelling of 120648 in words is "one hundred twenty thousand, six hundred forty-eight".