540602856 has 256 divisors, whose sum is σ = 1713830400. Its totient is φ = 156930048.

The previous prime is 540602851. The next prime is 540602929. The reversal of 540602856 is 658206045.

540602856 is a `hidden beast` number, since 5 + 40 + 602 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 540602856.

It is not an unprimeable number, because it can be changed into a prime (540602851) 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 63 ways as a sum of consecutive naturals, for example, 3124786 + ... + 3124958.

It is an arithmetic number, because the mean of its divisors is an integer number (6694650).

Almost surely, 2^540602856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540602856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856915200).

540602856 is an abundant number, since it is smaller than the sum of its proper divisors (1173227544).

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

540602856 is a wasteful number, since it uses less digits than its factorization.

540602856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 540602856 is about 23250.8678547705. The cubic root of 540602856 is about 814.6282098607.

The spelling of 540602856 in words is "five hundred forty million, six hundred two thousand, eight hundred fifty-six".