9921000960 has 640 divisors, whose sum is σ = 38786267520. Its totient is φ = 2388787200.

The previous prime is 9921000923. The next prime is 9921000977. The reversal of 9921000960 is 690001299.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54812070 + ... + 54812250.

It is an arithmetic number, because the mean of its divisors is an integer number (60603543).

Almost surely, 2^9921000960 is an apocalyptic number.

9921000960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9921000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393133760).

9921000960 is an abundant number, since it is smaller than the sum of its proper divisors (28865266560).

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

9921000960 is a wasteful number, since it uses less digits than its factorization.

9921000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9921000960 is about 99604.2215972797. The cubic root of 9921000960 is about 2148.7464089314.

The spelling of 9921000960 in words is "nine billion, nine hundred twenty-one million, nine hundred sixty", and thus it is an aban number.