54040 has 32 divisors (see below), whose sum is σ = 139680. Its totient is φ = 18432.

The previous prime is 54037. The next prime is 54049. The reversal of 54040 is 4045.

It is a self number, because there is not a number n which added to its sum of digits gives 54040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54049) 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 7 ways as a sum of consecutive naturals, for example, 184 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (4365).

2⁵⁴⁰⁴⁰ 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 54040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69840).

54040 is an abundant number, since it is smaller than the sum of its proper divisors (85640).

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

54040 is a wasteful number, since it uses less digits than its factorization.

54040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 54040 is about 232.4650511367. The cubic root of 54040 is about 37.8069619419.

Adding to 54040 its reverse (4045), we get a palindrome (58085).

The spelling of 54040 in words is "fifty-four thousand, forty", and thus it is an eban number.