560084040 has 288 divisors, whose sum is σ = 2026435320. Its totient is φ = 133681152.

The previous prime is 560084039. The next prime is 560084051. The reversal of 560084040 is 40480065.

It can be written as a sum of positive squares in 4 ways, for example, as 556865604 + 3218436 = 23598^2 + 1794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 560083995 and 560084013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3237394 + ... + 3237566.

Almost surely, 2^560084040 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 560084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013217660).

560084040 is an abundant number, since it is smaller than the sum of its proper divisors (1466351280).

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

560084040 is a wasteful number, since it uses less digits than its factorization.

560084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 560084040 is about 23666.0947348733. The cubic root of 560084040 is about 824.2982903774.

The spelling of 560084040 in words is "five hundred sixty million, eighty-four thousand, forty".