8688736 has 48 divisors (see below), whose sum is σ = 19837440. Its totient is φ = 3669120.

The previous prime is 8688707. The next prime is 8688739. The reversal of 8688736 is 6378868.

It is a d-powerful number, because it can be written as 8⁵ + 6⁶ + 8⁵ + 8⁷ + 7⁵ + 3¹⁴ + 6⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8688739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17451 + ... + 17941.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 2^8688736 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 8688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918720).

8688736 is an abundant number, since it is smaller than the sum of its proper divisors (11148704).

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

8688736 is a wasteful number, since it uses less digits than its factorization.

8688736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 8688736 is about 2947.6661954841. Note that the first 3 decimals coincide. The cubic root of 8688736 is about 205.5822116664.

It can be divided in two parts, 868 and 8736, that added together give a square (9604 = 98²).

The spelling of 8688736 in words is "eight million, six hundred eighty-eight thousand, seven hundred thirty-six".