984959120 has 20 divisors (see below), whose sum is σ = 2290030140. Its totient is φ = 393983616.

The previous prime is 984959083. The next prime is 984959149. The reversal of 984959120 is 21959489.

It can be written as a sum of positive squares in 2 ways, for example, as 400480144 + 584478976 = 20012^2 + 24176^2 .

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

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6155915 + ... + 6156074.

It is an arithmetic number, because the mean of its divisors is an integer number (114501507).

Almost surely, 2^984959120 is an apocalyptic number.

It is an amenable number.

984959120 is an abundant number, since it is smaller than the sum of its proper divisors (1305071020).

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

984959120 is a wasteful number, since it uses less digits than its factorization.

984959120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312002 (or 12311996 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 984959120 is about 31384.0583736393. The cubic root of 984959120 is about 994.9610247100.

The spelling of 984959120 in words is "nine hundred eighty-four million, nine hundred fifty-nine thousand, one hundred twenty".