807568 has 20 divisors (see below), whose sum is σ = 1657260. Its totient is φ = 379904.

The previous prime is 807559. The next prime is 807571. The reversal of 807568 is 865708.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 565504 = 492^2 + 752^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213 + ... + 1756.

It is an arithmetic number, because the mean of its divisors is an integer number (82863).

2⁸⁰⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

807568 is an abundant number, since it is smaller than the sum of its proper divisors (849692).

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

807568 is a wasteful number, since it uses less digits than its factorization.

807568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 807568 is about 898.6478731962. The cubic root of 807568 is about 93.1235879551.

The spelling of 807568 in words is "eight hundred seven thousand, five hundred sixty-eight".