9999600 has 120 divisors (see below), whose sum is σ = 34549872. Its totient is φ = 2457600.

The previous prime is 9999593. The next prime is 9999601. The reversal of 9999600 is 69999.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15280 + ... + 15920.

Almost surely, 2^9999600 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 9999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274936).

9999600 is an abundant number, since it is smaller than the sum of its proper divisors (24550272).

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

9999600 is a wasteful number, since it uses less digits than its factorization.

9999600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 9999600 is about 3162.2144139827. The cubic root of 9999600 is about 215.4405963853.

It can be divided in two parts, 99 and 99600, that added together give a palindrome (99699).

The spelling of 9999600 in words is "nine million, nine hundred ninety-nine thousand, six hundred".