42648 has 16 divisors (see below), whose sum is σ = 106680. Its totient is φ = 14208.

The previous prime is 42643. The next prime is 42649. The reversal of 42648 is 84624.

42648 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1777 = 42648 / (4 + 2 + 6 + 4 + 8).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641) 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, 865 + ... + 912.

2⁴²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

42648 is an abundant number, since it is smaller than the sum of its proper divisors (64032).

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 (53340).

42648 is a wasteful number, since it uses less digits than its factorization.

42648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1782 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 42648 is about 206.5139220489. The cubic root of 42648 is about 34.9381219601.

Subtracting from 42648 its sum of digits (24), we obtain a palindrome (42624).

It can be divided in two parts, 426 and 48, that added together give a palindrome (474).

The spelling of 42648 in words is "forty-two thousand, six hundred forty-eight".