54020 has 24 divisors (see below), whose sum is σ = 118104. Its totient is φ = 20736.

The previous prime is 54013. The next prime is 54037. The reversal of 54020 is 2045.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 37636 = 128^2 + 194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53992 and 54010.

It is an unprimeable number.

54020 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 7 ways as a sum of consecutive naturals, for example, 704 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (4921).

2⁵⁴⁰²⁰ 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 54020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052).

54020 is an abundant number, since it is smaller than the sum of its proper divisors (64084).

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

54020 is a wasteful number, since it uses less digits than its factorization.

54020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 54020 is about 232.4220299369. The cubic root of 54020 is about 37.8022972951.

Adding to 54020 its reverse (2045), we get a palindrome (56065).

It can be divided in two parts, 5 and 4020, that multiplied together give a triangular number (20100 = T₂₀₀).

The spelling of 54020 in words is "fifty-four thousand, twenty".