9721600 has 162 divisors, whose sum is σ = 28893984. Its totient is φ = 3225600.

The previous prime is 9721589. The next prime is 9721609. The reversal of 9721600 is 61279.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9721609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313585 + ... + 313615.

Almost surely, 2^9721600 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 9721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446992).

9721600 is an abundant number, since it is smaller than the sum of its proper divisors (19172384).

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

9721600 is a wasteful number, since it uses less digits than its factorization.

9721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 9721600 is about 3117.9480431848. The cubic root of 9721600 is about 213.4253075637.

Adding to 9721600 its reverse (61279), we get a palindrome (9782879).

The spelling of 9721600 in words is "nine million, seven hundred twenty-one thousand, six hundred".