540224640 has 320 divisors, whose sum is σ = 2046056760. Its totient is φ = 135364608.

The previous prime is 540224639. The next prime is 540224647. The reversal of 540224640 is 46422045.

It can be written as a sum of positive squares in 4 ways, for example, as 326597184 + 213627456 = 18072^2 + 14616^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (540224647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880974 + ... + 881586.

Almost surely, 2^540224640 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 540224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023028380).

540224640 is an abundant number, since it is smaller than the sum of its proper divisors (1505832120).

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

540224640 is a wasteful number, since it uses less digits than its factorization.

540224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 540224640 is about 23242.7330578828. The cubic root of 540224640 is about 814.4381890967.

Adding to 540224640 its reverse (46422045), we get a palindrome (586646685).

The spelling of 540224640 in words is "five hundred forty million, two hundred twenty-four thousand, six hundred forty".