567760 has 40 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 220800.

The previous prime is 567751. The next prime is 567761. The reversal of 567760 is 67765.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3685 + ... + 3835.

2⁵⁶⁷⁷⁶⁰ 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 567760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

567760 is an abundant number, since it is smaller than the sum of its proper divisors (789296).

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

567760 is a wasteful number, since it uses less digits than its factorization.

567760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 567760 is about 753.4985069660. The cubic root of 567760 is about 82.8046890699.

The spelling of 567760 in words is "five hundred sixty-seven thousand, seven hundred sixty".