868736 has 32 divisors (see below), whose sum is σ = 1891080. Its totient is φ = 394240.

The previous prime is 868727. The next prime is 868739. The reversal of 868736 is 637868.

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

It is a d-powerful number, because it can be written as 8 + 6⁵ + 7⁵ + 8⁵ + 3¹² + 6⁷ .

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 868736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868739) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 1716.

2⁸⁶⁸⁷³⁶ 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 868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945540).

868736 is an abundant number, since it is smaller than the sum of its proper divisors (1022344).

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

868736 is a wasteful number, since it uses less digits than its factorization.

868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 868736 is about 932.0600839002. The cubic root of 868736 is about 95.4177722985.

The spelling of 868736 in words is "eight hundred sixty-eight thousand, seven hundred thirty-six".