567360 has 84 divisors (see below), whose sum is σ = 1961388. Its totient is φ = 150528.

The previous prime is 567323. The next prime is 567367. The reversal of 567360 is 63765.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 147456 = 648^2 + 384^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567367) by changing a digit.

567360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2782 + ... + 2978.

2⁵⁶⁷³⁶⁰ 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 567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980694).

567360 is an abundant number, since it is smaller than the sum of its proper divisors (1394028).

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

567360 is a wasteful number, since it uses less digits than its factorization.

567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 567360 is about 753.2330316708. The cubic root of 567360 is about 82.7852385643.

The spelling of 567360 in words is "five hundred sixty-seven thousand, three hundred sixty".