906444 has 96 divisors (see below), whose sum is σ = 2956800. Its totient is φ = 233280.

The previous prime is 906431. The next prime is 906461. The reversal of 906444 is 444609.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8262 + ... + 8370.

It is an arithmetic number, because the mean of its divisors is an integer number (30800).

2⁹⁰⁶⁴⁴⁴ 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 906444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478400).

906444 is an abundant number, since it is smaller than the sum of its proper divisors (2050356).

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

906444 is a wasteful number, since it uses less digits than its factorization.

906444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 906444 is about 952.0735265724. The cubic root of 906444 is about 96.7788208110.

The spelling of 906444 in words is "nine hundred six thousand, four hundred forty-four".