9089385600 has 192 divisors, whose sum is σ = 30109322880. Its totient is φ = 2409984000.

The previous prime is 9089385593. The next prime is 9089385607. The reversal of 9089385600 is 65839809.

It is an interprime number because it is at equal distance from previous prime (9089385593) and next prime (9089385607).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9089385600.

It is not an unprimeable number, because it can be changed into a prime (9089385607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734985 + ... + 1740215.

It is an arithmetic number, because the mean of its divisors is an integer number (156819390).

Almost surely, 2^9089385600 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 9089385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054661440).

9089385600 is an abundant number, since it is smaller than the sum of its proper divisors (21019937280).

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

9089385600 is a wasteful number, since it uses less digits than its factorization.

9089385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9089385600 is about 95338.2693360856. The cubic root of 9089385600 is about 2086.9474297309.

The spelling of 9089385600 in words is "nine billion, eighty-nine million, three hundred eighty-five thousand, six hundred".