540024 has 16 divisors (see below), whose sum is σ = 1350120. Its totient is φ = 180000.

The previous prime is 539993. The next prime is 540041. The reversal of 540024 is 420045.

540024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 539985 and 540012.

It is a congruent number.

It is an unprimeable number.

540024 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 3 ways as a sum of consecutive naturals, for example, 11227 + ... + 11274.

2⁵⁴⁰⁰²⁴ is an apocalyptic number.

It is an amenable number.

540024 is an abundant number, since it is smaller than the sum of its proper divisors (810096).

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

540024 is a wasteful number, since it uses less digits than its factorization.

540024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22510 (or 22506 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 540024 is about 734.8632525851. The cubic root of 540024 is about 81.4337348878.

Adding to 540024 its reverse (420045), we get a palindrome (960069).

It can be divided in two parts, 5400 and 24, that multiplied together give a square (129600 = 360²).

The spelling of 540024 in words is "five hundred forty thousand, twenty-four".