540054 has 32 divisors (see below), whose sum is σ = 1225440. Its totient is φ = 176256.

The previous prime is 540041. The next prime is 540061. The reversal of 540054 is 450045.

540054 = T₁₁ + T₁₂ + ... + T₁₄₇.

It is a happy number.

540054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874 + ... + 4010.

It is an arithmetic number, because the mean of its divisors is an integer number (38295).

2⁵⁴⁰⁰⁵⁴ is an apocalyptic number.

540054 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612720).

540054 is an abundant number, since it is smaller than the sum of its proper divisors (685386).

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

540054 is a wasteful number, since it uses less digits than its factorization.

540054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

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

The square root of 540054 is about 734.8836642626. The cubic root of 540054 is about 81.4352428250.

540054 divided by its sum of digits (18) gives a palindrome (30003).

Adding to 540054 its reverse (450045), we get a palindrome (990099).

Subtracting from 540054 its reverse (450045), we obtain a palindrome (90009).

It can be divided in two parts, 5400 and 54, that multiplied together give a square (291600 = 540²).

The spelling of 540054 in words is "five hundred forty thousand, fifty-four".