8983120 has 20 divisors (see below), whose sum is σ = 20885940. Its totient is φ = 3593216.

The previous prime is 8983099. The next prime is 8983151. The reversal of 8983120 is 213898.

It can be written as a sum of positive squares in 2 ways, for example, as 7011904 + 1971216 = 2648^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 56065 + ... + 56224.

It is an arithmetic number, because the mean of its divisors is an integer number (1044297).

Almost surely, 2^8983120 is an apocalyptic number.

8983120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8983120 is an abundant number, since it is smaller than the sum of its proper divisors (11902820).

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

8983120 is a wasteful number, since it uses less digits than its factorization.

8983120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112302 (or 112296 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 8983120 is about 2997.1853462874. The cubic root of 8983120 is about 207.8782571599.

The spelling of 8983120 in words is "eight million, nine hundred eighty-three thousand, one hundred twenty".