868608 has 108 divisors (see below), whose sum is σ = 2790060. Its totient is φ = 258048.

The previous prime is 868603. The next prime is 868613. The reversal of 868608 is 806868.

It is an interprime number because it is at equal distance from previous prime (868603) and next prime (868613).

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 589824 = 528^2 + 768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (868603) 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 11 ways as a sum of consecutive naturals, for example, 29938 + ... + 29966.

2⁸⁶⁸⁶⁰⁸ 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 868608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395030).

868608 is an abundant number, since it is smaller than the sum of its proper divisors (1921452).

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

868608 is a wasteful number, since it uses less digits than its factorization.

868608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 868608 is about 931.9914162695. The cubic root of 868608 is about 95.4130857674.

It can be divided in two parts, 86860 and 8, that added together give a palindrome (86868).

The spelling of 868608 in words is "eight hundred sixty-eight thousand, six hundred eight".