9665600 has 84 divisors (see below), whose sum is σ = 27212544. Its totient is φ = 3310080.

The previous prime is 9665587. The next prime is 9665609. The reversal of 9665600 is 65669.

9665600 = T₂₄₁ + T₂₄₂ + ... + T₄₁₅.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (9665609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10769 + ... + 11631.

Almost surely, 2^9665600 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 9665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272).

9665600 is an abundant number, since it is smaller than the sum of its proper divisors (17546944).

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

9665600 is a wasteful number, since it uses less digits than its factorization.

9665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 9665600 is about 3108.9548082917. The cubic root of 9665600 is about 213.0147153462.

The spelling of 9665600 in words is "nine million, six hundred sixty-five thousand, six hundred".