54560 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 19200.

The previous prime is 54559. The next prime is 54563. The reversal of 54560 is 6545.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54560.

It is not an unprimeable number, because it can be changed into a prime (54563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1745 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁵⁴⁵⁶⁰ 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 54560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

54560 is an abundant number, since it is smaller than the sum of its proper divisors (90592).

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

54560 is a wasteful number, since it uses less digits than its factorization.

54560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 54560 is about 233.5808211305. The cubic root of 54560 is about 37.9278409014.

The spelling of 54560 in words is "fifty-four thousand, five hundred sixty".