906048000 has 720 divisors, whose sum is σ = 3862987128. Its totient is φ = 202752000.

The previous prime is 906047983. The next prime is 906048019. The reversal of 906048000 is 840609.

It can be written as a sum of positive squares in 4 ways, for example, as 122943744 + 783104256 = 11088^2 + 27984^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69695994 + ... + 69696006.

Almost surely, 2^906048000 is an apocalyptic number.

906048000 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 906048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931493564).

906048000 is an abundant number, since it is smaller than the sum of its proper divisors (2956939128).

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

906048000 is a wasteful number, since it uses less digits than its factorization.

906048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906048000 is about 30100.6312226172. The cubic root of 906048000 is about 967.6472543929.

Adding to 906048000 its reverse (840609), we get a palindrome (906888609).

The spelling of 906048000 in words is "nine hundred six million, forty-eight thousand".