9977984 has 32 divisors (see below), whose sum is σ = 20058300. Its totient is φ = 4943872.

The previous prime is 9977977. The next prime is 9977993. The reversal of 9977984 is 4897799.

It can be written as a sum of positive squares in 2 ways, for example, as 9784384 + 193600 = 3128^2 + 440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 17252 + ... + 17820.

Almost surely, 2^9977984 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 9977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029150).

9977984 is an abundant number, since it is smaller than the sum of its proper divisors (10080316).

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

9977984 is a wasteful number, since it uses less digits than its factorization.

9977984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 53.

The square root of 9977984 is about 3158.7947068463. The cubic root of 9977984 is about 215.2852460513.

The spelling of 9977984 in words is "nine million, nine hundred seventy-seven thousand, nine hundred eighty-four".