563616 has 72 divisors (see below), whose sum is σ = 1703520. Its totient is φ = 176256.

The previous prime is 563599. The next prime is 563623. The reversal of 563616 is 616365.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 563616.

It is an unprimeable number.

563616 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 5421 + ... + 5523.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

563616 is a Friedman number, since it can be written as 6*6*(31+5^6), using all its digits and the basic arithmetic operations.

2⁵⁶³⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851760).

563616 is an abundant number, since it is smaller than the sum of its proper divisors (1139904).

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

563616 is a wasteful number, since it uses less digits than its factorization.

563616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 563616 is about 750.7436313416. The cubic root of 563616 is about 82.6027370225.

The spelling of 563616 in words is "five hundred sixty-three thousand, six hundred sixteen".