9621248000 has 576 divisors, whose sum is σ = 30586701600. Its totient is φ = 2993356800.

The previous prime is 9621247991. The next prime is 9621248003. The reversal of 9621248000 is 8421269.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9621248003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163071971 + ... + 163072029.

Almost surely, 2^9621248000 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 9621248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293350800).

9621248000 is an abundant number, since it is smaller than the sum of its proper divisors (20965453600).

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

9621248000 is a wasteful number, since it uses less digits than its factorization.

9621248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 9621248000 is about 98087.9605252347. The cubic root of 9621248000 is about 2126.8839946968.

Adding to 9621248000 its reverse (8421269), we get a palindrome (9629669269).

The spelling of 9621248000 in words is "nine billion, six hundred twenty-one million, two hundred forty-eight thousand".