54816 has 24 divisors (see below), whose sum is σ = 144144. Its totient is φ = 18240.

The previous prime is 54799. The next prime is 54829. The reversal of 54816 is 61845.

54816 = 74² + 75² + ... + 82².

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

54816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 190 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2⁵⁴⁸¹⁶ is an apocalyptic number.

It is an amenable number.

54816 is an abundant number, since it is smaller than the sum of its proper divisors (89328).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072).

54816 is a wasteful number, since it uses less digits than its factorization.

54816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 54816 is about 234.1281700266. The cubic root of 54816 is about 37.9870685454.

The spelling of 54816 in words is "fifty-four thousand, eight hundred sixteen".