560665440 has 288 divisors, whose sum is σ = 2083929120. Its totient is φ = 136691712.

The previous prime is 560665421. The next prime is 560665453. The reversal of 560665440 is 44566065.

It is a happy number.

560665440 is a `hidden beast` number, since 5 + 606 + 6 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×560665440² = 628691471220787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 560665395 and 560665404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905451 + ... + 906069.

It is an arithmetic number, because the mean of its divisors is an integer number (7235865).

Almost surely, 2^560665440 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 560665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560).

560665440 is an abundant number, since it is smaller than the sum of its proper divisors (1523263680).

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

560665440 is a wasteful number, since it uses less digits than its factorization.

560665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 560665440 is about 23678.3749442397. The cubic root of 560665440 is about 824.5834150246.

The spelling of 560665440 in words is "five hundred sixty million, six hundred sixty-five thousand, four hundred forty".