54468 has 36 divisors (see below), whose sum is σ = 147420. Its totient is φ = 16896.

The previous prime is 54449. The next prime is 54469. The reversal of 54468 is 86445.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 28224 = 162^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54469) 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 11 ways as a sum of consecutive naturals, for example, 568 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁵⁴⁴⁶⁸ 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 54468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710).

54468 is an abundant number, since it is smaller than the sum of its proper divisors (92952).

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

54468 is a wasteful number, since it uses less digits than its factorization.

54468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

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

The square root of 54468 is about 233.3838040653. The cubic root of 54468 is about 37.9065107177.

The spelling of 54468 in words is "fifty-four thousand, four hundred sixty-eight".