9968600 has 24 divisors (see below), whose sum is σ = 23177460. Its totient is φ = 3987360.

The previous prime is 9968587. The next prime is 9968627. The reversal of 9968600 is 68699.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24722 + ... + 25121.

Almost surely, 2^9968600 is an apocalyptic number.

It is an amenable number.

9968600 is an abundant number, since it is smaller than the sum of its proper divisors (13208860).

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

9968600 is a wasteful number, since it uses less digits than its factorization.

9968600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49859 (or 49850 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 9968600 is about 3157.3089807619. The cubic root of 9968600 is about 215.2177350723.

It can be divided in two parts, 9 and 968600, that multiplied together give a triangular number (8717400 = T₄₁₇₅).

The spelling of 9968600 in words is "nine million, nine hundred sixty-eight thousand, six hundred".