812128 has 24 divisors (see below), whose sum is σ = 1640520. Its totient is φ = 395520.

The previous prime is 812101. The next prime is 812129. The reversal of 812128 is 821218.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 812099 and 812108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1003 + ... + 1621.

It is an arithmetic number, because the mean of its divisors is an integer number (68355).

2⁸¹²¹²⁸ 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 812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820260).

812128 is an abundant number, since it is smaller than the sum of its proper divisors (828392).

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

812128 is a wasteful number, since it uses less digits than its factorization.

812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

The square root of 812128 is about 901.1814467686. The cubic root of 812128 is about 93.2985357808.

It can be divided in two parts, 81 and 2128, that added together give a square (2209 = 47²).

The spelling of 812128 in words is "eight hundred twelve thousand, one hundred twenty-eight".