560865600 has 168 divisors, whose sum is σ = 2044720320. Its totient is φ = 149552640.

The previous prime is 560865593. The next prime is 560865607. The reversal of 560865600 is 6568065.

It is an interprime number because it is at equal distance from previous prime (560865593) and next prime (560865607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560865607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36709 + ... + 49691.

Almost surely, 2^560865600 is an apocalyptic number.

560865600 is a gapful number since it is divisible by the number (50) 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 560865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022360160).

560865600 is an abundant number, since it is smaller than the sum of its proper divisors (1483854720).

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

560865600 is a wasteful number, since it uses less digits than its factorization.

560865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13014 (or 12993 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 560865600 is about 23682.6012084821. The cubic root of 560865600 is about 824.6815299712.

The spelling of 560865600 in words is "five hundred sixty million, eight hundred sixty-five thousand, six hundred".