9922624000 has 160 divisors (see below), whose sum is σ = 24888067776. Its totient is φ = 3945779200.

The previous prime is 9922623961. The next prime is 9922624003. The reversal of 9922624000 is 4262299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (9922624003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14527659 + ... + 14528341.

Almost surely, 2^9922624000 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 9922624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444033888).

9922624000 is an abundant number, since it is smaller than the sum of its proper divisors (14965443776).

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

9922624000 is an equidigital number, since it uses as much as digits as its factorization.

9922624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 9922624000 is about 99612.3687099147. The cubic root of 9922624000 is about 2148.8635782648.

Adding to 9922624000 its reverse (4262299), we get a palindrome (9926886299).

The spelling of 9922624000 in words is "nine billion, nine hundred twenty-two million, six hundred twenty-four thousand".