800632 has 48 divisors (see below), whose sum is σ = 1881360. Its totient is φ = 311808.

The previous prime is 800623. The next prime is 800647. The reversal of 800632 is 236008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27594 + ... + 27622.

It is an arithmetic number, because the mean of its divisors is an integer number (39195).

2⁸⁰⁰⁶³² 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 800632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940680).

800632 is an abundant number, since it is smaller than the sum of its proper divisors (1080728).

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

800632 is a wasteful number, since it uses less digits than its factorization.

800632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 800632 is about 894.7804199914. The cubic root of 800632 is about 92.8562159389.

The spelling of 800632 in words is "eight hundred thousand, six hundred thirty-two".