540213320 has 64 divisors (see below), whose sum is σ = 1314100800. Its totient is φ = 199169280.

The previous prime is 540213281. The next prime is 540213329. The reversal of 540213320 is 23312045.

It is a happy number.

It is a super-2 number, since 2×540213320² = 583660862210844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 540213292 and 540213301.

It is not an unprimeable number, because it can be changed into a prime (540213329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18515 + ... + 37725.

It is an arithmetic number, because the mean of its divisors is an integer number (20532825).

Almost surely, 2^540213320 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 540213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657050400).

540213320 is an abundant number, since it is smaller than the sum of its proper divisors (773887480).

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

540213320 is a wasteful number, since it uses less digits than its factorization.

540213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19278 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 540213320 is about 23242.4895396341. The cubic root of 540213320 is about 814.4325004109.

Adding to 540213320 its reverse (23312045), we get a palindrome (563525365).

The spelling of 540213320 in words is "five hundred forty million, two hundred thirteen thousand, three hundred twenty".