9094809600 has 864 divisors, whose sum is σ = 36596720160. Its totient is φ = 2229534720.

The previous prime is 9094809587. The next prime is 9094809601. The reversal of 9094809600 is 69084909.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (9094809601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211507179 + ... + 211507221.

It is an arithmetic number, because the mean of its divisors is an integer number (42357315).

Almost surely, 2^9094809600 is an apocalyptic number.

9094809600 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 9094809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298360080).

9094809600 is an abundant number, since it is smaller than the sum of its proper divisors (27501910560).

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

9094809600 is a wasteful number, since it uses less digits than its factorization.

9094809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9094809600 is about 95366.7111732391. The cubic root of 9094809600 is about 2087.3624688576.

The spelling of 9094809600 in words is "nine billion, ninety-four million, eight hundred nine thousand, six hundred".