8968960 has 216 divisors, whose sum is σ = 29360016. Its totient is φ = 2580480.

The previous prime is 8968957. The next prime is 8968987. The reversal of 8968960 is 698698.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8968960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 689914 + ... + 689926.

It is an arithmetic number, because the mean of its divisors is an integer number (135926).

Almost surely, 2^8968960 is an apocalyptic number.

8968960 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 8968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680008).

8968960 is an abundant number, since it is smaller than the sum of its proper divisors (20391056).

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

8968960 is a wasteful number, since it uses less digits than its factorization.

8968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 8968960 is about 2994.8221983951. The cubic root of 8968960 is about 207.7689742638.

The spelling of 8968960 in words is "eight million, nine hundred sixty-eight thousand, nine hundred sixty".