865632 has 48 divisors (see below), whose sum is σ = 2322432. Its totient is φ = 282240.

The previous prime is 865619. The next prime is 865637. The reversal of 865632 is 236568.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 865632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865637) by changing a digit.

865632 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, 6753 + ... + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

2⁸⁶⁵⁶³² 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 865632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216).

865632 is an abundant number, since it is smaller than the sum of its proper divisors (1456800).

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

865632 is a wasteful number, since it uses less digits than its factorization.

865632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 865632 is about 930.3934651533. The cubic root of 865632 is about 95.3039938839.

The spelling of 865632 in words is "eight hundred sixty-five thousand, six hundred thirty-two".