8688960 has 168 divisors, whose sum is σ = 34235136. Its totient is φ = 1981440.

The previous prime is 8688943. The next prime is 8688961. The reversal of 8688960 is 698868.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8688961) 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 23 ways as a sum of consecutive naturals, for example, 19945 + ... + 20375.

Almost surely, 2^8688960 is an apocalyptic number.

8688960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117568).

8688960 is an abundant number, since it is smaller than the sum of its proper divisors (25546176).

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

8688960 is a wasteful number, since it uses less digits than its factorization.

8688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8688960 is about 2947.7041914005. The cubic root of 8688960 is about 205.5839783222.

The spelling of 8688960 in words is "eight million, six hundred eighty-eight thousand, nine hundred sixty".