9967600 has 30 divisors (see below), whose sum is σ = 23948120. Its totient is φ = 3986880.

The previous prime is 9967597. The next prime is 9967603. The reversal of 9967600 is 67699.

It is an interprime number because it is at equal distance from previous prime (9967597) and next prime (9967603).

It is a self number, because there is not a number n which added to its sum of digits gives 9967600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967603) by changing a digit.

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, 12060 + ... + 12859.

Almost surely, 2^9967600 is an apocalyptic number.

It is an amenable number.

9967600 is an abundant number, since it is smaller than the sum of its proper divisors (13980520).

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

9967600 is a wasteful number, since it uses less digits than its factorization.

9967600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24937 (or 24926 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 9967600 is about 3157.1506140823. The cubic root of 9967600 is about 215.2105383101.

The spelling of 9967600 in words is "nine million, nine hundred sixty-seven thousand, six hundred".