54960 has 40 divisors (see below), whose sum is σ = 171120. Its totient is φ = 14592.

The previous prime is 54959. The next prime is 54973. The reversal of 54960 is 6945.

54960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (4278).

2⁵⁴⁹⁶⁰ 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 54960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85560).

54960 is an abundant number, since it is smaller than the sum of its proper divisors (116160).

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

54960 is a wasteful number, since it uses less digits than its factorization.

54960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 54960 is about 234.4354921935. The cubic root of 54960 is about 38.0203030930.

The spelling of 54960 in words is "fifty-four thousand, nine hundred sixty".