540895968 has 240 divisors, whose sum is σ = 1706576256. Its totient is φ = 167650560.

The previous prime is 540895937. The next prime is 540895969. The reversal of 540895968 is 869598045.

It is a happy number.

540895968 is a `hidden beast` number, since 5 + 40 + 8 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540895969) 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 39 ways as a sum of consecutive naturals, for example, 2563383 + ... + 2563593.

Almost surely, 2^540895968 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 540895968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853288128).

540895968 is an abundant number, since it is smaller than the sum of its proper divisors (1165680288).

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

540895968 is a wasteful number, since it uses less digits than its factorization.

540895968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 540895968 is about 23257.1702491941. The cubic root of 540895968 is about 814.7754122907.

The spelling of 540895968 in words is "five hundred forty million, eight hundred ninety-five thousand, nine hundred sixty-eight".