540013320 has 576 divisors, whose sum is σ = 2343219840. Its totient is φ = 107331840.

The previous prime is 540013277. The next prime is 540013333. The reversal of 540013320 is 23310045.

It is a super-2 number, since 2×540013320² = 583228771554844800, which contains 22 as substring.

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 = 540013293 and 540013302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23478829 + ... + 23478851.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090).

Almost surely, 2^540013320 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 540013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171609920).

540013320 is an abundant number, since it is smaller than the sum of its proper divisors (1803206520).

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

540013320 is a wasteful number, since it uses less digits than its factorization.

540013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540013320 is about 23238.1866762448. The cubic root of 540013320 is about 814.3319804869.

Adding to 540013320 its reverse (23310045), we get a palindrome (563323365).

The spelling of 540013320 in words is "five hundred forty million, thirteen thousand, three hundred twenty".