9048000 has 224 divisors, whose sum is σ = 33284160. Its totient is φ = 2150400.

The previous prime is 9047999. The next prime is 9048031. The reversal of 9048000 is 8409.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311986 + ... + 312014.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 2^9048000 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 9048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

9048000 is an abundant number, since it is smaller than the sum of its proper divisors (24236160).

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

9048000 is a wasteful number, since it uses less digits than its factorization.

9048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

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

The square root of 9048000 is about 3007.9893616833. The cubic root of 9048000 is about 208.3775195166.

The spelling of 9048000 in words is "nine million, forty-eight thousand".