567264 has 48 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 178560.

The previous prime is 567263. The next prime is 567277. The reversal of 567264 is 462765.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567263) 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, 1669 + ... + 1979.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁵⁶⁷²⁶⁴ 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 567264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

567264 is an abundant number, since it is smaller than the sum of its proper divisors (1005216).

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

567264 is a wasteful number, since it uses less digits than its factorization.

567264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 567264 is about 753.1693036761. The cubic root of 567264 is about 82.7805690828.

The spelling of 567264 in words is "five hundred sixty-seven thousand, two hundred sixty-four".