873632 has 24 divisors (see below), whose sum is σ = 1796256. Its totient is φ = 417472.

The previous prime is 873619. The next prime is 873641. The reversal of 873632 is 236378.

873632 is nontrivially palindromic in base 5.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 873595 and 873604.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873632.

It is an unprimeable number.

873632 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, 143 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

2⁸⁷³⁶³² 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 873632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898128).

873632 is an abundant number, since it is smaller than the sum of its proper divisors (922624).

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

873632 is a wasteful number, since it uses less digits than its factorization.

873632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 873632 is about 934.6828339068. The cubic root of 873632 is about 95.5966876183.

The spelling of 873632 in words is "eight hundred seventy-three thousand, six hundred thirty-two".