9681600 has 84 divisors (see below), whose sum is σ = 31779464. Its totient is φ = 2580480.

The previous prime is 9681589. The next prime is 9681611. The reversal of 9681600 is 61869.

It is an interprime number because it is at equal distance from previous prime (9681589) and next prime (9681611).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 3792 + ... + 5808.

Almost surely, 2^9681600 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 9681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889732).

9681600 is an abundant number, since it is smaller than the sum of its proper divisors (22097864).

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

9681600 is a wasteful number, since it uses less digits than its factorization.

9681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 9681600 is about 3111.5269563351. The cubic root of 9681600 is about 213.1321888798.

The spelling of 9681600 in words is "nine million, six hundred eighty-one thousand, six hundred".