540540600 has 96 divisors (see below), whose sum is σ = 1686261120. Its totient is φ = 143233920.

The previous prime is 540540593. The next prime is 540540613. The reversal of 540540600 is 6045045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95037 + ... + 100563.

It is an arithmetic number, because the mean of its divisors is an integer number (17565220).

Almost surely, 2^540540600 is an apocalyptic number.

540540600 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 540540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843130560).

540540600 is an abundant number, since it is smaller than the sum of its proper divisors (1145720520).

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

540540600 is a wasteful number, since it uses less digits than its factorization.

540540600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5700 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540540600 is about 23249.5290274878. The cubic root of 540540600 is about 814.5969377107.

Adding to 540540600 its reverse (6045045), we get a palindrome (546585645).

The spelling of 540540600 in words is "five hundred forty million, five hundred forty thousand, six hundred".