810560 has 56 divisors (see below), whose sum is σ = 2057400. Its totient is φ = 303104.

The previous prime is 810553. The next prime is 810571. The reversal of 810560 is 65018.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 760384 = 224^2 + 872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5366 + ... + 5514.

2⁸¹⁰⁵⁶⁰ is an apocalyptic number.

810560 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 810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028700).

810560 is an abundant number, since it is smaller than the sum of its proper divisors (1246840).

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

810560 is a wasteful number, since it uses less digits than its factorization.

810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 810560 is about 900.3110573574. The cubic root of 810560 is about 93.2384523312.

Adding to 810560 its reverse (65018), we get a palindrome (875578).

The spelling of 810560 in words is "eight hundred ten thousand, five hundred sixty".