9085217760 has 144 divisors (see below), whose sum is σ = 31139821440. Its totient is φ = 2412057600.

The previous prime is 9085217737. The next prime is 9085217807. The reversal of 9085217760 is 677125809.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315985 + ... + 343535.

It is an arithmetic number, because the mean of its divisors is an integer number (216248760).

Almost surely, 2^9085217760 is an apocalyptic number.

9085217760 is a gapful number since it is divisible by the number (90) 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 9085217760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569910720).

9085217760 is an abundant number, since it is smaller than the sum of its proper divisors (22054603680).

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

9085217760 is a wasteful number, since it uses less digits than its factorization.

9085217760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27801 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 9085217760 is about 95316.4086608387. The cubic root of 9085217760 is about 2086.6283985311.

The spelling of 9085217760 in words is "nine billion, eighty-five million, two hundred seventeen thousand, seven hundred sixty".