54080 has 42 divisors (see below), whose sum is σ = 139446. Its totient is φ = 19968.

The previous prime is 54059. The next prime is 54083. The reversal of 54080 is 8045.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 53824 = 16^2 + 232^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54083) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4154 + ... + 4166.

2⁵⁴⁰⁸⁰ 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 54080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69723).

54080 is an abundant number, since it is smaller than the sum of its proper divisors (85366).

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

54080 is a wasteful number, since it uses less digits than its factorization.

54080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 54080 is about 232.5510696600. The cubic root of 54080 is about 37.8162877839.

The spelling of 54080 in words is "fifty-four thousand, eighty".