560636880 has 240 divisors, whose sum is σ = 1891218240. Its totient is φ = 137314304.

The previous prime is 560636849. The next prime is 560636959. The reversal of 560636880 is 88636065.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×560636880² = 628627422432268800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4092172 + ... + 4092308.

It is an arithmetic number, because the mean of its divisors is an integer number (7880076).

Almost surely, 2^560636880 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 560636880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945609120).

560636880 is an abundant number, since it is smaller than the sum of its proper divisors (1330581360).

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

560636880 is a wasteful number, since it uses less digits than its factorization.

560636880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 560636880 is about 23677.7718546319. The cubic root of 560636880 is about 824.5694135063.

It can be divided in two parts, 5606 and 36880, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 560636880 in words is "five hundred sixty million, six hundred thirty-six thousand, eight hundred eighty".