540365760 has 336 divisors, whose sum is σ = 2086916832. Its totient is φ = 127180800.

The previous prime is 540365747. The next prime is 540365779. The reversal of 540365760 is 67563045.

540365760 is a `hidden beast` number, since 54 + 0 + 36 + 576 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1171930 + ... + 1172390.

It is an arithmetic number, because the mean of its divisors is an integer number (6211062).

Almost surely, 2^540365760 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 540365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).

540365760 is an abundant number, since it is smaller than the sum of its proper divisors (1546551072).

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

540365760 is a wasteful number, since it uses less digits than its factorization.

540365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 540365760 is about 23245.7686472184. The cubic root of 540365760 is about 814.5091000366.

The spelling of 540365760 in words is "five hundred forty million, three hundred sixty-five thousand, seven hundred sixty".