54320 has 40 divisors (see below), whose sum is σ = 145824. Its totient is φ = 18432.

The previous prime is 54319. The next prime is 54323. The reversal of 54320 is 2345.

54320 = T₈₁ + T₈₂ + ... + T₉₄.

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 (14).

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 54295 and 54304.

It is not an unprimeable number, because it can be changed into a prime (54323) 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, 512 + ... + 608.

2⁵⁴³²⁰ 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 54320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

54320 is an abundant number, since it is smaller than the sum of its proper divisors (91504).

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

54320 is a wasteful number, since it uses less digits than its factorization.

54320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 54320 is about 233.0665141113. The cubic root of 54320 is about 37.8721464881.

Adding to 54320 its reverse (2345), we get a palindrome (56665).

The spelling of 54320 in words is "fifty-four thousand, three hundred twenty".