9089408160 has 288 divisors, whose sum is σ = 36408258432. Its totient is φ = 2021345280.

The previous prime is 9089408137. The next prime is 9089408177. The reversal of 9089408160 is 618049809.

9089408160 is a `hidden beast` number, since 9 + 0 + 89 + 408 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 360775 + ... + 385145.

It is an arithmetic number, because the mean of its divisors is an integer number (126417564).

Almost surely, 2^9089408160 is an apocalyptic number.

9089408160 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 9089408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204129216).

9089408160 is an abundant number, since it is smaller than the sum of its proper divisors (27318850272).

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

9089408160 is a wasteful number, since it uses less digits than its factorization.

9089408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24436 (or 24425 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9089408160 is about 95338.3876515646. The cubic root of 9089408160 is about 2086.9491563418.

The spelling of 9089408160 in words is "nine billion, eighty-nine million, four hundred eight thousand, one hundred sixty".