9859600 has 45 divisors (see below), whose sum is σ = 23839527. Its totient is φ = 3918720.

The previous prime is 9859579. The next prime is 9859601. The reversal of 9859600 is 69589.

The square root of 9859600 is 3140.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 8667136 = 1092^2 + 2944^2 .

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 9859600.

It is not an unprimeable number, because it can be changed into a prime (9859601) 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, 62722 + ... + 62878.

Almost surely, 2^9859600 is an apocalyptic number.

9859600 is the 3140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9859600

9859600 is an abundant number, since it is smaller than the sum of its proper divisors (13979927).

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

9859600 is a wasteful number, since it uses less digits than its factorization.

9859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 164 counting only the distinct ones).

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

The cubic root of 9859600 is about 214.4304376850.

It can be divided in two parts, 985 and 9600, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 9859600 in words is "nine million, eight hundred fifty-nine thousand, six hundred".