540189360 has 120 divisors (see below), whose sum is σ = 1837293120. Its totient is φ = 142212096.

The previous prime is 540189359. The next prime is 540189379. The reversal of 540189360 is 63981045.

540189360 is a `hidden beast` number, since 540 + 1 + 89 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52132 + ... + 61628.

It is an arithmetic number, because the mean of its divisors is an integer number (15310776).

Almost surely, 2^540189360 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 540189360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918646560).

540189360 is an abundant number, since it is smaller than the sum of its proper divisors (1297103760).

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

540189360 is a wasteful number, since it uses less digits than its factorization.

540189360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9595 (or 9586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 540189360 is about 23241.9740986001. The cubic root of 540189360 is about 814.4204594323.

The spelling of 540189360 in words is "five hundred forty million, one hundred eighty-nine thousand, three hundred sixty".