9985600 has 63 divisors (see below), whose sum is σ = 24885777. Its totient is φ = 3943680.

The previous prime is 9985559. The next prime is 9985601. The reversal of 9985600 is 65899.

9985600 = 1³ + 2³ + ... + 79³.

The square root of 9985600 is 3160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3594816 + 6390784 = 1896^2 + 2528^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9985600.

It is not an unprimeable number, because it can be changed into a prime (9985601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 126361 + ... + 126439.

Almost surely, 2^9985600 is an apocalyptic number.

9985600 is the 3160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9985600

9985600 is an abundant number, since it is smaller than the sum of its proper divisors (14900177).

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

9985600 is an equidigital number, since it uses as much as digits as its factorization.

9985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The cubic root of 9985600 is about 215.3400064601.

It can be divided in two parts, 9985 and 600, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 9985600 in words is "nine million, nine hundred eighty-five thousand, six hundred".