8816895360 has 1152 divisors, whose sum is σ = 39997994400. Its totient is φ = 1839366144.

The previous prime is 8816895359. The next prime is 8816895379. The reversal of 8816895360 is 635986188.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 8816895297 and 8816895306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99066196 + ... + 99066284.

Almost surely, 2^8816895360 is an apocalyptic number.

8816895360 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 8816895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998997200).

8816895360 is an abundant number, since it is smaller than the sum of its proper divisors (31181099040).

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

8816895360 is a wasteful number, since it uses less digits than its factorization.

8816895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

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

The square root of 8816895360 is about 93898.3245856922. The cubic root of 8816895360 is about 2065.8806547315.

The spelling of 8816895360 in words is "eight billion, eight hundred sixteen million, eight hundred ninety-five thousand, three hundred sixty".