540600 has 96 divisors (see below), whose sum is σ = 1807920. Its totient is φ = 133120.

The previous prime is 540599. The next prime is 540611. The reversal of 540600 is 6045.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 540600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10174 + ... + 10226.

2⁵⁴⁰⁶⁰⁰ is an apocalyptic number.

540600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903960).

540600 is an abundant number, since it is smaller than the sum of its proper divisors (1267320).

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

540600 is a wasteful number, since it uses less digits than its factorization.

540600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540600 is about 735.2550577861. The cubic root of 540600 is about 81.4626775300.

Adding to 540600 its reverse (6045), we get a palindrome (546645).

The spelling of 540600 in words is "five hundred forty thousand, six hundred".