9984600 has 144 divisors (see below), whose sum is σ = 35209800. Its totient is φ = 2600640.

The previous prime is 9984589. The next prime is 9984619. The reversal of 9984600 is 64899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×9984600³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 232179 + ... + 232221.

Almost surely, 2^9984600 is an apocalyptic number.

9984600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9984600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17604900).

9984600 is an abundant number, since it is smaller than the sum of its proper divisors (25225200).

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

9984600 is a wasteful number, since it uses less digits than its factorization.

9984600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9984600 is about 3159.8417681903. The cubic root of 9984600 is about 215.3328178687.

The spelling of 9984600 in words is "nine million, nine hundred eighty-four thousand, six hundred".