567648 has 72 divisors (see below), whose sum is σ = 1696968. Its totient is φ = 186624.

The previous prime is 567631. The next prime is 567649. The reversal of 567648 is 846765.

It is a happy number.

567648 is a `hidden beast` number, since 5 + 6 + 7 + 648 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 567648.

It is not an unprimeable number, because it can be changed into a prime (567649) by changing a digit.

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, 7740 + ... + 7812.

It is an arithmetic number, because the mean of its divisors is an integer number (23569).

567648 is a Friedman number, since it can be written as (8*(6+4)-7)*6^5, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 657 ⋅ 864 (with its own digits).

2⁵⁶⁷⁶⁴⁸ 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 567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848484).

567648 is an abundant number, since it is smaller than the sum of its proper divisors (1129320).

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

567648 is an equidigital number, since it uses as much as digits as its factorization.

567648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 567648 is about 753.4241833124. The cubic root of 567648 is about 82.7992438494.

The spelling of 567648 in words is "five hundred sixty-seven thousand, six hundred forty-eight".