984077120 has 112 divisors (see below), whose sum is σ = 2537063760. Its totient is φ = 361414656.

The previous prime is 984077093. The next prime is 984077137. The reversal of 984077120 is 21770489.

984077120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82156096 + 901921024 = 9064^2 + 30032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952124 + ... + 953156.

It is an arithmetic number, because the mean of its divisors is an integer number (22652355).

Almost surely, 2^984077120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268531880).

984077120 is an abundant number, since it is smaller than the sum of its proper divisors (1552986640).

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

984077120 is a wasteful number, since it uses less digits than its factorization.

984077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 984077120 is about 31370.0035065347. The cubic root of 984077120 is about 994.6639505549.

The spelling of 984077120 in words is "nine hundred eighty-four million, seventy-seven thousand, one hundred twenty".