812832 has 24 divisors (see below), whose sum is σ = 2133936. Its totient is φ = 270912.

The previous prime is 812807. The next prime is 812849. The reversal of 812832 is 238218.

It is a tau number, because it is divible by the number of its divisors (24).

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 an unprimeable number.

812832 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 3 ways as a sum of consecutive naturals, for example, 4138 + ... + 4329.

It is an arithmetic number, because the mean of its divisors is an integer number (88914).

2⁸¹²⁸³² is an apocalyptic number.

It is an amenable number.

812832 is an abundant number, since it is smaller than the sum of its proper divisors (1321104).

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

812832 is a wasteful number, since it uses less digits than its factorization.

812832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8480 (or 8472 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 812832 is about 901.5719605223. The cubic root of 812832 is about 93.3254868687.

The spelling of 812832 in words is "eight hundred twelve thousand, eight hundred thirty-two".