48648 has 16 divisors (see below), whose sum is σ = 121680. Its totient is φ = 16208.

The previous prime is 48647. The next prime is 48649. The reversal of 48648 is 84684.

It is an interprime number because it is at equal distance from previous prime (48647) and next prime (48649).

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

48648 is a modest number, since divided by 648 gives 48 as remainder.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (48647) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 990 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2⁴⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

48648 is an abundant number, since it is smaller than the sum of its proper divisors (73032).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60840).

48648 is a wasteful number, since it uses less digits than its factorization.

48648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2032 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48648 is about 220.5629161940. The cubic root of 48648 is about 36.5052222465.

It can be divided in two parts, 48 and 648, that added together give a palindrome (696).

The spelling of 48648 in words is "forty-eight thousand, six hundred forty-eight".