8985760 has 96 divisors (see below), whose sum is σ = 24820992. Its totient is φ = 3010560.

The previous prime is 8985751. The next prime is 8985763. The reversal of 8985760 is 675898.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8985763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79464 + ... + 79576.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^8985760 is an apocalyptic number.

8985760 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 8985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12410496).

8985760 is an abundant number, since it is smaller than the sum of its proper divisors (15835232).

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

8985760 is a wasteful number, since it uses less digits than its factorization.

8985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 8985760 is about 2997.6257271381. The cubic root of 8985760 is about 207.8986192333.

It can be divided in two parts, 89 and 85760, that added together give a square (85849 = 293²).

The spelling of 8985760 in words is "eight million, nine hundred eighty-five thousand, seven hundred sixty".