9721960 has 72 divisors (see below), whose sum is σ = 24065730. Its totient is φ = 3533824.

The previous prime is 9721951. The next prime is 9721969. The reversal of 9721960 is 691279.

It is an interprime number because it is at equal distance from previous prime (9721951) and next prime (9721969).

It can be written as a sum of positive squares in 9 ways, for example, as 3481956 + 6240004 = 1866^2 + 2498^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (9721969) 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, 335226 + ... + 335254.

Almost surely, 2^9721960 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 9721960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032865).

9721960 is an abundant number, since it is smaller than the sum of its proper divisors (14343770).

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

9721960 is a wasteful number, since it uses less digits than its factorization.

9721960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 9721960 is about 3118.0057729260. The cubic root of 9721960 is about 213.4279419779.

It can be divided in two parts, 97219 and 60, that added together give a palindrome (97279).

The spelling of 9721960 in words is "nine million, seven hundred twenty-one thousand, nine hundred sixty".