540201006 has 24 divisors (see below), whose sum is σ = 1170903864. Its totient is φ = 179994960.

The previous prime is 540200987. The next prime is 540201029. The reversal of 540201006 is 600102045.

It is a happy number.

540201006 is a `hidden beast` number, since 540 + 20 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540201006.

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 11 ways as a sum of consecutive naturals, for example, 59616 + ... + 68076.

It is an arithmetic number, because the mean of its divisors is an integer number (48787661).

Almost surely, 2^540201006 is an apocalyptic number.

540201006 is an abundant number, since it is smaller than the sum of its proper divisors (630702858).

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

540201006 is a wasteful number, since it uses less digits than its factorization.

540201006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12016 (or 12013 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 540201006 is about 23242.2246353485. The cubic root of 540201006 is about 814.4263121160.

The spelling of 540201006 in words is "five hundred forty million, two hundred one thousand, six".