540233568 has 288 divisors, whose sum is σ = 1871880192. Its totient is φ = 144460800.

The previous prime is 540233563. The next prime is 540233581. The reversal of 540233568 is 865332045.

It is a happy number.

540233568 is a `hidden beast` number, since 540 + 23 + 35 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540233563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828353 + ... + 2828543.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^540233568 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 540233568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935940096).

540233568 is an abundant number, since it is smaller than the sum of its proper divisors (1331646624).

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

540233568 is a wasteful number, since it uses less digits than its factorization.

540233568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540233568 is about 23242.9251171190. The cubic root of 540233568 is about 814.4426756649.

The spelling of 540233568 in words is "five hundred forty million, two hundred thirty-three thousand, five hundred sixty-eight".