540624 has 40 divisors (see below), whose sum is σ = 1597120. Its totient is φ = 154368.

The previous prime is 540619. The next prime is 540629. The reversal of 540624 is 426045.

It is a happy number.

540624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540619) and next prime (540629).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 540624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540629) by changing a digit.

540624 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, 469 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (39928).

2⁵⁴⁰⁶²⁴ is an apocalyptic number.

It is an amenable number.

540624 is an abundant number, since it is smaller than the sum of its proper divisors (1056496).

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

540624 is a wasteful number, since it uses less digits than its factorization.

540624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 540624 is about 735.2713784719. The cubic root of 540624 is about 81.4638830272.

Adding to 540624 its reverse (426045), we get a palindrome (966669).

The spelling of 540624 in words is "five hundred forty thousand, six hundred twenty-four".