8085244960 has 96 divisors (see below), whose sum is σ = 20690555760. Its totient is φ = 2967932928.

The previous prime is 8085244957. The next prime is 8085244991. The reversal of 8085244960 is 694425808.

It can be written as a sum of positive squares in 8 ways, for example, as 4926355344 + 3158889616 = 70188^2 + 56204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8085244960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348606 + ... + 371074.

Almost surely, 2^8085244960 is an apocalyptic number.

8085244960 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 8085244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10345277880).

8085244960 is an abundant number, since it is smaller than the sum of its proper divisors (12605310800).

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

8085244960 is a wasteful number, since it uses less digits than its factorization.

8085244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22670 (or 22662 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 8085244960 is about 89917.9901910624. The cubic root of 8085244960 is about 2007.0786633713.

The spelling of 8085244960 in words is "eight billion, eighty-five million, two hundred forty-four thousand, nine hundred sixty".