806560 has 36 divisors (see below), whose sum is σ = 1932714. Its totient is φ = 318080.

The previous prime is 806549. The next prime is 806579. The reversal of 806560 is 65608.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 80656 = 852^2 + 284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11325 + ... + 11395.

2⁸⁰⁶⁵⁶⁰ is an apocalyptic number.

806560 is a gapful number since it is divisible by the number (80) 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 806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966357).

806560 is an abundant number, since it is smaller than the sum of its proper divisors (1126154).

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

806560 is an equidigital number, since it uses as much as digits as its factorization.

806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 806560 is about 898.0868554878. The cubic root of 806560 is about 93.0848264477.

Multiplying 806560 by its product of nonzero digits (1440), we get a square (1161446400 = 34080²).

It can be divided in two parts, 80 and 6560, that multiplied together give a triangular number (524800 = T₁₀₂₄).

The spelling of 806560 in words is "eight hundred six thousand, five hundred sixty".