54648 has 64 divisors (see below), whose sum is σ = 172800. Its totient is φ = 15840.

The previous prime is 54647. The next prime is 54667. The reversal of 54648 is 84645.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2⁵⁴⁶⁴⁸ 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 54648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400).

54648 is an abundant number, since it is smaller than the sum of its proper divisors (118152).

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

54648 is a wasteful number, since it uses less digits than its factorization.

54648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 39 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54648 is about 233.7691168653. The cubic root of 54648 is about 37.9482212605.

The spelling of 54648 in words is "fifty-four thousand, six hundred forty-eight".