567120 has 80 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 141312.

The previous prime is 567107. The next prime is 567121. The reversal of 567120 is 21765.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4011 + ... + 4149.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁵⁶⁷¹²⁰ 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 567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

567120 is an abundant number, since it is smaller than the sum of its proper divisors (1307760).

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

567120 is a wasteful number, since it uses less digits than its factorization.

567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 567120 is about 753.0737015724. The cubic root of 567120 is about 82.7735638725.

Adding to 567120 its reverse (21765), we get a palindrome (588885).

The spelling of 567120 in words is "five hundred sixty-seven thousand, one hundred twenty".