63568 has 20 divisors (see below), whose sum is σ = 128340. Its totient is φ = 30464.

The previous prime is 63559. The next prime is 63577. The reversal of 63568 is 86536.

63568 = 7³ + 8³ + ... + 22³.

It is an interprime number because it is at equal distance from previous prime (63559) and next prime (63577).

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 28224 = 188^2 + 168^2 .

It is a d-powerful number, because it can be written as 6³ + 3⁹ + 5⁵ + 6⁵ + 8⁵ .

It is a nialpdrome in base 16.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 396 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (6417).

2⁶³⁵⁶⁸ 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 63568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64170).

63568 is an abundant number, since it is smaller than the sum of its proper divisors (64772).

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

63568 is a wasteful number, since it uses less digits than its factorization.

63568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 168 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 63568 is about 252.1269521491. The cubic root of 63568 is about 39.9097967372.

It can be divided in two parts, 635 and 68, that added together give a triangular number (703 = T₃₇).

The spelling of 63568 in words is "sixty-three thousand, five hundred sixty-eight".