9084118560 has 288 divisors, whose sum is σ = 31636422720. Its totient is φ = 2189383680.

The previous prime is 9084118541. The next prime is 9084118583. The reversal of 9084118560 is 658114809.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13299979 + ... + 13300661.

It is an arithmetic number, because the mean of its divisors is an integer number (109848690).

Almost surely, 2^9084118560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9084118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818211360).

9084118560 is an abundant number, since it is smaller than the sum of its proper divisors (22552304160).

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

9084118560 is a wasteful number, since it uses less digits than its factorization.

9084118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 9084118560 is about 95310.6424278003. The cubic root of 9084118560 is about 2086.5442429829.

The spelling of 9084118560 in words is "nine billion, eighty-four million, one hundred eighteen thousand, five hundred sixty".