8718960 has 80 divisors (see below), whose sum is σ = 28632096. Its totient is φ = 2187264.

The previous prime is 8718953. The next prime is 8718973. The reversal of 8718960 is 698178.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3012 + ... + 5148.

Almost surely, 2^8718960 is an apocalyptic number.

8718960 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 8718960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316048).

8718960 is an abundant number, since it is smaller than the sum of its proper divisors (19913136).

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

8718960 is a wasteful number, since it uses less digits than its factorization.

8718960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 8718960 is about 2952.7885125759. The cubic root of 8718960 is about 205.8203102048.

The spelling of 8718960 in words is "eight million, seven hundred eighteen thousand, nine hundred sixty".