811824 has 40 divisors (see below), whose sum is σ = 2260272. Its totient is φ = 249600.

The previous prime is 811819. The next prime is 811861. The reversal of 811824 is 428118.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 811794 and 811803.

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, 27 + ... + 1274.

2⁸¹¹⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130136).

811824 is an abundant number, since it is smaller than the sum of its proper divisors (1448448).

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

811824 is a wasteful number, since it uses less digits than its factorization.

811824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1319 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 811824 is about 901.0127635056. The cubic root of 811824 is about 93.2868929961.

The spelling of 811824 in words is "eight hundred eleven thousand, eight hundred twenty-four".