9958600 has 96 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 3584000.

The previous prime is 9958591. The next prime is 9958621. The reversal of 9958600 is 68599.

It can be written as a sum of positive squares in 12 ways, for example, as 4169764 + 5788836 = 2042^2 + 2406^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9958600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98550 + ... + 98650.

Almost surely, 2^9958600 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 9958600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

9958600 is an abundant number, since it is smaller than the sum of its proper divisors (15653600).

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

9958600 is a wasteful number, since it uses less digits than its factorization.

9958600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

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

The square root of 9958600 is about 3155.7249563294. The cubic root of 9958600 is about 215.1457457791.

The spelling of 9958600 in words is "nine million, nine hundred fifty-eight thousand, six hundred".