567864 has 64 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 171360.

The previous prime is 567863. The next prime is 567871. The reversal of 567864 is 468765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (567863) 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, 2257 + ... + 2495.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁵⁶⁷⁸⁶⁴ is an apocalyptic number.

567864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 567864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

567864 is an abundant number, since it is smaller than the sum of its proper divisors (1160136).

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

567864 is a wasteful number, since it uses less digits than its factorization.

567864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 567864 is about 753.5675152234. The cubic root of 567864 is about 82.8097447048.

Subtracting from 567864 its reverse (468765), we obtain a palindrome (99099).

It can be divided in two parts, 567 and 864, that added together give a triangular number (1431 = T₅₃).

The spelling of 567864 in words is "five hundred sixty-seven thousand, eight hundred sixty-four".