806564 has 24 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 350240.

The previous prime is 806549. The next prime is 806579. The reversal of 806564 is 465608.

It is an interprime number because it is at equal distance from previous prime (806549) and next prime (806579).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 806564.

It is an unprimeable number.

806564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614 + ... + 1410.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2⁸⁰⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

806564 is a deficient number, since it is larger than the sum of its proper divisors (802204).

806564 is a wasteful number, since it uses less digits than its factorization.

806564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 806564 is about 898.0890824412. The cubic root of 806564 is about 93.0849803270.

It can be divided in two parts, 80656 and 4, that multiplied together give a square (322624 = 568²).

The spelling of 806564 in words is "eight hundred six thousand, five hundred sixty-four".