811224 has 48 divisors (see below), whose sum is σ = 2316600. Its totient is φ = 255744.

The previous prime is 811207. The next prime is 811231. The reversal of 811224 is 422118.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 811197 and 811206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 1664.

2⁸¹¹²²⁴ 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 811224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158300).

811224 is an abundant number, since it is smaller than the sum of its proper divisors (1505376).

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

811224 is a wasteful number, since it uses less digits than its factorization.

811224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 617 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 811224 is about 900.6797433050. The cubic root of 811224 is about 93.2639052833.

It can be divided in two parts, 811 and 224, that added together give a triangular number (1035 = T₄₅).

The spelling of 811224 in words is "eight hundred eleven thousand, two hundred twenty-four".