811632 has 40 divisors (see below), whose sum is σ = 2158096. Its totient is φ = 262656.

The previous prime is 811627. The next prime is 811637. The reversal of 811632 is 236118.

It is an interprime number because it is at equal distance from previous prime (811627) and next prime (811637).

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 = 811599 and 811608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811637) by changing a digit.

811632 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 7 ways as a sum of consecutive naturals, for example, 1548 + ... + 2004.

2⁸¹¹⁶³² 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 811632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079048).

811632 is an abundant number, since it is smaller than the sum of its proper divisors (1346464).

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

811632 is a wasteful number, since it uses less digits than its factorization.

811632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 811632 is about 900.9062104348. The cubic root of 811632 is about 93.2795381607.

The spelling of 811632 in words is "eight hundred eleven thousand, six hundred thirty-two".