8678960 has 40 divisors (see below), whose sum is σ = 20336496. Its totient is φ = 3444480.

The previous prime is 8678951. The next prime is 8678963. The reversal of 8678960 is 698768.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8678963) 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, 12215 + ... + 12905.

Almost surely, 2^8678960 is an apocalyptic number.

8678960 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 8678960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168248).

8678960 is an abundant number, since it is smaller than the sum of its proper divisors (11657536).

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

8678960 is a wasteful number, since it uses less digits than its factorization.

8678960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 8678960 is about 2946.0074677434. The cubic root of 8678960 is about 205.5050801585.

Subtracting from 8678960 its sum of digits (44), we obtain a square (8678916 = 2946²).

The spelling of 8678960 in words is "eight million, six hundred seventy-eight thousand, nine hundred sixty".