563264 has 28 divisors (see below), whose sum is σ = 1205484. Its totient is φ = 259584.

The previous prime is 563263. The next prime is 563287. The reversal of 563264 is 462365.

It can be written as a sum of positive squares in 2 ways, for example, as 369664 + 193600 = 608^2 + 440^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁵ + 6⁷ + 2³ + 3⁵ + 6⁷ + 4² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 494 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (43053).

2⁵⁶³²⁶⁴ 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 563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602742).

563264 is an abundant number, since it is smaller than the sum of its proper divisors (642220).

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

563264 is a wasteful number, since it uses less digits than its factorization.

563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 692 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 563264 is about 750.5091605037. The cubic root of 563264 is about 82.5855372396.

The spelling of 563264 in words is "five hundred sixty-three thousand, two hundred sixty-four".