560905344 has 128 divisors (see below), whose sum is σ = 1753012800. Its totient is φ = 175951872.

The previous prime is 560905337. The next prime is 560905363. The reversal of 560905344 is 443509065.

It is a happy number.

560905344 is a `hidden beast` number, since 5 + 609 + 0 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×560905344² = 629229609855516672, 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 = 560905299 and 560905308.

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 15 ways as a sum of consecutive naturals, for example, 53979 + ... + 63525.

Almost surely, 2^560905344 is an apocalyptic number.

560905344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876506400).

560905344 is an abundant number, since it is smaller than the sum of its proper divisors (1192107456).

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

560905344 is a wasteful number, since it uses less digits than its factorization.

560905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 560905344 is about 23683.4402906335. The cubic root of 560905344 is about 824.7010090101.

The spelling of 560905344 in words is "five hundred sixty million, nine hundred five thousand, three hundred forty-four".