865648 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 361920.

The previous prime is 865643. The next prime is 865661. The reversal of 865648 is 846568.

865648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×865648³ = 1946010792968933376, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6543 + ... + 6673.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁸⁶⁵⁶⁴⁸ 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 865648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

865648 is an abundant number, since it is smaller than the sum of its proper divisors (1098512).

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

865648 is a wasteful number, since it uses less digits than its factorization.

865648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 865648 is about 930.4020636263. The cubic root of 865648 is about 95.3045810674.

It can be divided in two parts, 8 and 65648, that added together give a palindrome (65656).

The spelling of 865648 in words is "eight hundred sixty-five thousand, six hundred forty-eight".