567840 has 144 divisors (see below), whose sum is σ = 2213568. Its totient is φ = 119808.

The previous prime is 567829. The next prime is 567841. The reversal of 567840 is 48765.

Added to its reverse (48765) it gives a triangular number (616605 = T₁₁₁₀).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 567798 and 567807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43674 + ... + 43686.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2⁵⁶⁷⁸⁴⁰ 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 567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784).

567840 is an abundant number, since it is smaller than the sum of its proper divisors (1645728).

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

567840 is a wasteful number, since it uses less digits than its factorization.

567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 567840 is about 753.5515908019. The cubic root of 567840 is about 82.8085780746.

Adding to 567840 its reverse (48765), we get a triangular number (616605 = T₁₁₁₀).

The spelling of 567840 in words is "five hundred sixty-seven thousand, eight hundred forty".