9004776 has 64 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 2608320.

The previous prime is 9004771. The next prime is 9004811. The reversal of 9004776 is 6774009.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9004771) 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 15 ways as a sum of consecutive naturals, for example, 5331 + ... + 6813.

It is an arithmetic number, because the mean of its divisors is an integer number (400680).

Almost surely, 2^9004776 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 9004776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

9004776 is an abundant number, since it is smaller than the sum of its proper divisors (16638744).

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

9004776 is a wasteful number, since it uses less digits than its factorization.

9004776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 9004776 is about 3000.7958944253. The cubic root of 9004776 is about 208.0451701702.

The spelling of 9004776 in words is "nine million, four thousand, seven hundred seventy-six".