560268576 has 336 divisors, whose sum is σ = 1956697344. Its totient is φ = 154524672.

The previous prime is 560268571. The next prime is 560268581. The reversal of 560268576 is 675862065.

560268576 is a `hidden beast` number, since 56 + 0 + 26 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (560268571) and next prime (560268581).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (560268571) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7674876 + ... + 7674948.

It is an arithmetic number, because the mean of its divisors is an integer number (5823504).

Almost surely, 2^560268576 is an apocalyptic number.

560268576 is a gapful number since it is divisible by the number (56) 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 560268576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978348672).

560268576 is an abundant number, since it is smaller than the sum of its proper divisors (1396428768).

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

560268576 is an equidigital number, since it uses as much as digits as its factorization.

560268576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 560268576 is about 23669.9931558925. The cubic root of 560268576 is about 824.3888101301.

The spelling of 560268576 in words is "five hundred sixty million, two hundred sixty-eight thousand, five hundred seventy-six".