8924398560 has 864 divisors, whose sum is σ = 39820225536. Its totient is φ = 1847577600.

The previous prime is 8924398559. The next prime is 8924398601. The reversal of 8924398560 is 658934298.

8924398560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8924398497 and 8924398506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32931225 + ... + 32931495.

It is an arithmetic number, because the mean of its divisors is an integer number (46088224).

Almost surely, 2^8924398560 is an apocalyptic number.

8924398560 is a gapful number since it is divisible by the number (80) 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 8924398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910112768).

8924398560 is an abundant number, since it is smaller than the sum of its proper divisors (30895826976).

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

8924398560 is a wasteful number, since it uses less digits than its factorization.

8924398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 8924398560 is about 94469.0349267949. The cubic root of 8924398560 is about 2074.2430923946.

The spelling of 8924398560 in words is "eight billion, nine hundred twenty-four million, three hundred ninety-eight thousand, five hundred sixty".