811008 has 84 divisors (see below), whose sum is σ = 2555748. Its totient is φ = 245760.

The previous prime is 810989. The next prime is 811037. The reversal of 811008 is 800118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 811008.

It is an unprimeable number.

811008 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 5 ways as a sum of consecutive naturals, for example, 73723 + ... + 73733.

2⁸¹¹⁰⁰⁸ is an apocalyptic number.

811008 is a gapful number since it is divisible by the number (88) 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 811008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277874).

811008 is an abundant number, since it is smaller than the sum of its proper divisors (1744740).

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

811008 is a wasteful number, since it uses less digits than its factorization.

811008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 811008 is about 900.5598258861. The cubic root of 811008 is about 93.2556269320.

It can be divided in two parts, 81 and 1008, that added together give a square (1089 = 33²).

The spelling of 811008 in words is "eight hundred eleven thousand, eight".