9720600 has 96 divisors (see below), whose sum is σ = 31939920. Its totient is φ = 2437120.

The previous prime is 9720589. The next prime is 9720619. The reversal of 9720600 is 60279.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9724 + ... + 10676.

Almost surely, 2^9720600 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 9720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969960).

9720600 is an abundant number, since it is smaller than the sum of its proper divisors (22219320).

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

9720600 is a wasteful number, since it uses less digits than its factorization.

9720600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 9720600 is about 3117.7876771839. The cubic root of 9720600 is about 213.4179894054.

Adding to 9720600 its reverse (60279), we get a palindrome (9780879).

It can be divided in two parts, 9720 and 600, that multiplied together give a cube (5832000 = 180³).

The spelling of 9720600 in words is "nine million, seven hundred twenty thousand, six hundred".