540666100 has 72 divisors (see below), whose sum is σ = 1277965080. Its totient is φ = 197345280.

The previous prime is 540666097. The next prime is 540666101. The reversal of 540666100 is 1666045.

It can be written as a sum of positive squares in 12 ways, for example, as 175244644 + 365421456 = 13238^2 + 19116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540666101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113364 + ... + 118036.

It is an arithmetic number, because the mean of its divisors is an integer number (17749515).

Almost surely, 2^540666100 is an apocalyptic number.

540666100 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 540666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638982540).

540666100 is an abundant number, since it is smaller than the sum of its proper divisors (737298980).

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

540666100 is a wasteful number, since it uses less digits than its factorization.

540666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 540666100 is about 23252.2278502513. The cubic root of 540666100 is about 814.6599758401.

The spelling of 540666100 in words is "five hundred forty million, six hundred sixty-six thousand, one hundred".