54540 has 48 divisors (see below), whose sum is σ = 171360. Its totient is φ = 14400.

The previous prime is 54539. The next prime is 54541. The reversal of 54540 is 4545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54539) and next prime (54541).

It is a super-2 number, since 2×54540² = 5949223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (54541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 490 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (3570).

2⁵⁴⁵⁴⁰ 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 54540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680).

54540 is an abundant number, since it is smaller than the sum of its proper divisors (116820).

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

54540 is a wasteful number, since it uses less digits than its factorization.

54540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54540 is about 233.5380054723. The cubic root of 54540 is about 37.9232059459.

It can be divided in two parts, 545 and 40, that added together give a palindrome (585).

The spelling of 54540 in words is "fifty-four thousand, five hundred forty".