90004800 has 168 divisors, whose sum is σ = 312944256. Its totient is φ = 22568960.

The previous prime is 90004751. The next prime is 90004801. The reversal of 90004800 is 840009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90004801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81049 + ... + 82151.

Almost surely, 2^90004800 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 90004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156472128).

90004800 is an abundant number, since it is smaller than the sum of its proper divisors (222939456).

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

90004800 is a wasteful number, since it uses less digits than its factorization.

90004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90004800 is about 9487.0859593449. The cubic root of 90004800 is about 448.1484414559.

Adding to 90004800 its reverse (840009), we get a palindrome (90844809).

The spelling of 90004800 in words is "ninety million, four thousand, eight hundred".