9958800 has 120 divisors (see below), whose sum is σ = 32812384. Its totient is φ = 2580480.

The previous prime is 9958763. The next prime is 9958807. The reversal of 9958800 is 88599.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (9958807) by changing a digit.

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, 51504 + ... + 51696.

Almost surely, 2^9958800 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 9958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406192).

9958800 is an abundant number, since it is smaller than the sum of its proper divisors (22853584).

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

9958800 is a wasteful number, since it uses less digits than its factorization.

9958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 9958800 is about 3155.7566446100. The cubic root of 9958800 is about 215.1471860372.

The spelling of 9958800 in words is "nine million, nine hundred fifty-eight thousand, eight hundred".