563652 has 48 divisors (see below), whose sum is σ = 1552320. Its totient is φ = 176256.

The previous prime is 563623. The next prime is 563657. The reversal of 563652 is 256365.

563652 is a `hidden beast` number, since 5 + 6 + 3 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (563657) by changing a digit.

563652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683 + ... + 1989.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

563652 is a Friedman number, since it can be written as 36*(5^6+2^5), using all its digits and the basic arithmetic operations.

2⁵⁶³⁶⁵² 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 563652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776160).

563652 is an abundant number, since it is smaller than the sum of its proper divisors (988668).

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

563652 is a wasteful number, since it uses less digits than its factorization.

563652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 563652 is about 750.7676071861. The cubic root of 563652 is about 82.6044956876.

The spelling of 563652 in words is "five hundred sixty-three thousand, six hundred fifty-two".