8985120 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2395904.

The previous prime is 8985113. The next prime is 8985139. The reversal of 8985120 is 215898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8880 + ... + 9839.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^8985120 is an apocalyptic number.

8985120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8985120 is an abundant number, since it is smaller than the sum of its proper divisors (19319520).

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

8985120 is a wasteful number, since it uses less digits than its factorization.

8985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18737 (or 18729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 8985120 is about 2997.5189740851. The cubic root of 8985120 is about 207.8936833394.

The spelling of 8985120 in words is "eight million, nine hundred eighty-five thousand, one hundred twenty".