9720840 has 64 divisors (see below), whose sum is σ = 29678400. Its totient is φ = 2546432.

The previous prime is 9720839. The next prime is 9720857. The reversal of 9720840 is 480279.

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

It is a junction number, because it is equal to n+sod(n) for n = 9720798 and 9720807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6394 + ... + 7766.

It is an arithmetic number, because the mean of its divisors is an integer number (463725).

Almost surely, 2^9720840 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 9720840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839200).

9720840 is an abundant number, since it is smaller than the sum of its proper divisors (19957560).

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

9720840 is a wasteful number, since it uses less digits than its factorization.

9720840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9720840 is about 3117.8261657764. The cubic root of 9720840 is about 213.4197458091.

The spelling of 9720840 in words is "nine million, seven hundred twenty thousand, eight hundred forty".