8892516960 has 432 divisors, whose sum is σ = 32407751376. Its totient is φ = 2304433152.

The previous prime is 8892516959. The next prime is 8892516977. The reversal of 8892516960 is 696152988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 8892516897 and 8892516906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45139582 + ... + 45139778.

It is an arithmetic number, because the mean of its divisors is an integer number (75017943).

Almost surely, 2^8892516960 is an apocalyptic number.

8892516960 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 8892516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203875688).

8892516960 is an abundant number, since it is smaller than the sum of its proper divisors (23515234416).

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

8892516960 is an equidigital number, since it uses as much as digits as its factorization.

8892516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 8892516960 is about 94300.1429479298. The cubic root of 8892516960 is about 2071.7701304796.

The spelling of 8892516960 in words is "eight billion, eight hundred ninety-two million, five hundred sixteen thousand, nine hundred sixty".