9661600 has 72 divisors (see below), whose sum is σ = 25428060. Its totient is φ = 3563520.

The previous prime is 9661583. The next prime is 9661637. The reversal of 9661600 is 61669.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 150544 + 9511056 = 388^2 + 3084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9936 + ... + 10864.

Almost surely, 2^9661600 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 9661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12714030).

9661600 is an abundant number, since it is smaller than the sum of its proper divisors (15766460).

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

9661600 is a wasteful number, since it uses less digits than its factorization.

9661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9661600 is about 3108.3114387075. The cubic root of 9661600 is about 212.9853267093.

The spelling of 9661600 in words is "nine million, six hundred sixty-one thousand, six hundred".