565600 has 72 divisors (see below), whose sum is σ = 1593648. Its totient is φ = 192000.

The previous prime is 565597. The next prime is 565603. The reversal of 565600 is 6565.

It is an interprime number because it is at equal distance from previous prime (565597) and next prime (565603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5550 + ... + 5650.

It is an arithmetic number, because the mean of its divisors is an integer number (22134).

2⁵⁶⁵⁶⁰⁰ is an apocalyptic number.

565600 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 565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796824).

565600 is an abundant number, since it is smaller than the sum of its proper divisors (1028048).

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

565600 is a wasteful number, since it uses less digits than its factorization.

565600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 565600 is about 752.0638270785. The cubic root of 565600 is about 82.6995475626.

It can be divided in two parts, 56 and 5600, that multiplied together give a square (313600 = 560²).

The spelling of 565600 in words is "five hundred sixty-five thousand, six hundred".