789632 has 32 divisors (see below), whose sum is σ = 1632000. Its totient is φ = 380160.

The previous prime is 789631. The next prime is 789653. The reversal of 789632 is 236987.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 789592 and 789601.

It is not an unprimeable number, because it can be changed into a prime (789631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3869 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (51000).

2⁷⁸⁹⁶³² 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 789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816000).

789632 is an abundant number, since it is smaller than the sum of its proper divisors (842368).

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

789632 is a wasteful number, since it uses less digits than its factorization.

789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 789632 is about 888.6124014440. The cubic root of 789632 is about 92.4289983507.

The spelling of 789632 in words is "seven hundred eighty-nine thousand, six hundred thirty-two".