9068800 has 108 divisors (see below), whose sum is σ = 24395140. Its totient is φ = 3317760.

The previous prime is 9068767. The next prime is 9068827. The reversal of 9068800 is 88609.

It can be written as a sum of positive squares in 6 ways, for example, as 495616 + 8573184 = 704^2 + 2928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83146 + ... + 83254.

Almost surely, 2^9068800 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 9068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197570).

9068800 is an abundant number, since it is smaller than the sum of its proper divisors (15326340).

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

9068800 is a wasteful number, since it uses less digits than its factorization.

9068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 9068800 is about 3011.4448359550. Note that the first 3 decimals coincide. The cubic root of 9068800 is about 208.5370735755.

The spelling of 9068800 in words is "nine million, sixty-eight thousand, eight hundred".