8854224960 has 448 divisors, whose sum is σ = 34925690880. Its totient is φ = 1854627840.

The previous prime is 8854224913. The next prime is 8854224961. The reversal of 8854224960 is 694224588.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8854224961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3956962 + ... + 3959198.

Almost surely, 2^8854224960 is an apocalyptic number.

8854224960 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 8854224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462845440).

8854224960 is an abundant number, since it is smaller than the sum of its proper divisors (26071465920).

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

8854224960 is a wasteful number, since it uses less digits than its factorization.

8854224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 8854224960 is about 94096.8913407877. The cubic root of 8854224960 is about 2068.7921072714.

The spelling of 8854224960 in words is "eight billion, eight hundred fifty-four million, two hundred twenty-four thousand, nine hundred sixty".