9922984560 has 120 divisors (see below), whose sum is σ = 33494329440. Its totient is φ = 2632659456.

The previous prime is 9922984559. The next prime is 9922984567. The reversal of 9922984560 is 654892299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 9922984497 and 9922984506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9922984567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106861 + ... + 176819.

It is an arithmetic number, because the mean of its divisors is an integer number (279119412).

Almost surely, 2^9922984560 is an apocalyptic number.

9922984560 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 9922984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747164720).

9922984560 is an abundant number, since it is smaller than the sum of its proper divisors (23571344880).

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

9922984560 is a wasteful number, since it uses less digits than its factorization.

9922984560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70175 (or 70166 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9922984560 is about 99614.1785088850. The cubic root of 9922984560 is about 2148.8896058178.

The spelling of 9922984560 in words is "nine billion, nine hundred twenty-two million, nine hundred eighty-four thousand, five hundred sixty".