540112320 has 224 divisors, whose sum is σ = 2078979840. Its totient is φ = 130913280.

The previous prime is 540112277. The next prime is 540112343. The reversal of 540112320 is 23211045.

540112320 is a `hidden beast` number, since 540 + 1 + 123 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 540112293 and 540112302.

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 31 ways as a sum of consecutive naturals, for example, 92199 + ... + 97881.

It is an arithmetic number, because the mean of its divisors is an integer number (9281160).

Almost surely, 2^540112320 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 540112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039489920).

540112320 is an abundant number, since it is smaller than the sum of its proper divisors (1538867520).

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

540112320 is a wasteful number, since it uses less digits than its factorization.

540112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 540112320 is about 23240.3166931950. The cubic root of 540112320 is about 814.3817409508.

Adding to 540112320 its reverse (23211045), we get a palindrome (563323365).

The spelling of 540112320 in words is "five hundred forty million, one hundred twelve thousand, three hundred twenty".