906048 has 126 divisors (see below), whose sum is σ = 3074162. Its totient is φ = 253440.

The previous prime is 906043. The next prime is 906089. The reversal of 906048 is 840609.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 278784 = 792^2 + 528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69690 + ... + 69702.

2⁹⁰⁶⁰⁴⁸ 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 906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537081).

906048 is an abundant number, since it is smaller than the sum of its proper divisors (2168114).

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

906048 is a wasteful number, since it uses less digits than its factorization.

906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

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

The square root of 906048 is about 951.8655367225. The cubic root of 906048 is about 96.7647254393.

The spelling of 906048 in words is "nine hundred six thousand, forty-eight".