8819454960 has 200 divisors, whose sum is σ = 32243896080. Its totient is φ = 2228041728.

The previous prime is 8819454947. The next prime is 8819454967. The reversal of 8819454960 is 694549188.

8819454960 is a `hidden beast` number, since 8 + 8 + 1 + 94 + 549 + 6 + 0 = 666.

8819454960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 8819454897 and 8819454906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8819454967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 87304 + ... + 158936.

Almost surely, 2^8819454960 is an apocalyptic number.

8819454960 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 8819454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121948040).

8819454960 is an abundant number, since it is smaller than the sum of its proper divisors (23424441120).

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

8819454960 is a wasteful number, since it uses less digits than its factorization.

8819454960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71677 (or 71662 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 8819454960 is about 93911.9532328021. The cubic root of 8819454960 is about 2066.0805480913.

The spelling of 8819454960 in words is "eight billion, eight hundred nineteen million, four hundred fifty-four thousand, nine hundred sixty".