54880 has 48 divisors (see below), whose sum is σ = 151200. Its totient is φ = 18816.

The previous prime is 54877. The next prime is 54881. The reversal of 54880 is 8845.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54881) 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 7 ways as a sum of consecutive naturals, for example, 7837 + ... + 7843.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁵⁴⁸⁸⁰ 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 54880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

54880 is an abundant number, since it is smaller than the sum of its proper divisors (96320).

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

54880 is an equidigital number, since it uses as much as digits as its factorization.

54880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 54880 is about 234.2648074295. The cubic root of 54880 is about 38.0018466323.

The spelling of 54880 in words is "fifty-four thousand, eight hundred eighty".