54576 has 30 divisors (see below), whose sum is σ = 153140. Its totient is φ = 18144.

The previous prime is 54563. The next prime is 54577. The reversal of 54576 is 67545.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (54577) by changing a digit.

54576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 46 + ... + 333.

2⁵⁴⁵⁷⁶ 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 54576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76570).

54576 is an abundant number, since it is smaller than the sum of its proper divisors (98564).

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

54576 is a wasteful number, since it uses less digits than its factorization.

54576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 54576 is about 233.6150680072. The cubic root of 54576 is about 37.9315480504.

It can be divided in two parts, 54 and 576, that added together give a triangular number (630 = T₃₅).

The spelling of 54576 in words is "fifty-four thousand, five hundred seventy-six".