540662100 has 144 divisors (see below), whose sum is σ = 1796551680. Its totient is φ = 124156800.

The previous prime is 540662077. The next prime is 540662107. The reversal of 540662100 is 1266045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540662107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58389 + ... + 67011.

Almost surely, 2^540662100 is an apocalyptic number.

540662100 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 540662100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898275840).

540662100 is an abundant number, since it is smaller than the sum of its proper divisors (1255889580).

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

540662100 is a wasteful number, since it uses less digits than its factorization.

540662100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 540662100 is about 23252.1418368287. The cubic root of 540662100 is about 814.6579668072.

The spelling of 540662100 in words is "five hundred forty million, six hundred sixty-two thousand, one hundred".