8986880 has 144 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 2850816.

The previous prime is 8986877. The next prime is 8986883. The reversal of 8986880 is 886898.

It is an interprime number because it is at equal distance from previous prime (8986877) and next prime (8986883).

It is not an unprimeable number, because it can be changed into a prime (8986883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152291 + ... + 152349.

It is an arithmetic number, because the mean of its divisors is an integer number (183960).

Almost surely, 2^8986880 is an apocalyptic number.

8986880 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 8986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

8986880 is an abundant number, since it is smaller than the sum of its proper divisors (17503360).

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

8986880 is a wasteful number, since it uses less digits than its factorization.

8986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 8986880 is about 2997.8125358334. The cubic root of 8986880 is about 207.9072564838.

The spelling of 8986880 in words is "eight million, nine hundred eighty-six thousand, eight hundred eighty".