8985960 has 96 divisors (see below), whose sum is σ = 29601000. Its totient is φ = 2363904.

The previous prime is 8985959. The next prime is 8985989. The reversal of 8985960 is 695898.

It can be written as a sum of positive squares in 4 ways, for example, as 8892324 + 93636 = 2982^2 + 306^2 .

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

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, 39126 + ... + 39354.

Almost surely, 2^8985960 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 8985960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800500).

8985960 is an abundant number, since it is smaller than the sum of its proper divisors (20615040).

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

8985960 is a wasteful number, since it uses less digits than its factorization.

8985960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8985960 is about 2997.6590866875. The cubic root of 8985960 is about 207.9001616521.

The spelling of 8985960 in words is "eight million, nine hundred eighty-five thousand, nine hundred sixty".