563600 has 30 divisors (see below), whose sum is σ = 1355010. Its totient is φ = 225280.

The previous prime is 563599. The next prime is 563623. The reversal of 563600 is 6365.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 559504 = 64^2 + 748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 305 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (45167).

2⁵⁶³⁶⁰⁰ is an apocalyptic number.

563600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563600 is an abundant number, since it is smaller than the sum of its proper divisors (791410).

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

563600 is a wasteful number, since it uses less digits than its factorization.

563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 563600 is about 750.7329751649. The cubic root of 563600 is about 82.6019553696.

Adding to 563600 its reverse (6365), we get a palindrome (569965).

The spelling of 563600 in words is "five hundred sixty-three thousand, six hundred".