564840 has 64 divisors (see below), whose sum is σ = 1886400. Its totient is φ = 150336.

The previous prime is 564827. The next prime is 564871. The reversal of 564840 is 48465.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (29475).

2⁵⁶⁴⁸⁴⁰ 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 564840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943200).

564840 is an abundant number, since it is smaller than the sum of its proper divisors (1321560).

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

564840 is a wasteful number, since it uses less digits than its factorization.

564840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564840 is about 751.5583809658. The cubic root of 564840 is about 82.6624896722.

The spelling of 564840 in words is "five hundred sixty-four thousand, eight hundred forty".