906672 has 40 divisors (see below), whose sum is σ = 2524144. Its totient is φ = 278784.

The previous prime is 906649. The next prime is 906673. The reversal of 906672 is 276609.

It is not an unprimeable number, because it can be changed into a prime (906673) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103 + ... + 1350.

2⁹⁰⁶⁶⁷² 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 906672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262072).

906672 is an abundant number, since it is smaller than the sum of its proper divisors (1617472).

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

906672 is a wasteful number, since it uses less digits than its factorization.

906672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 906672 is about 952.1932576951. The cubic root of 906672 is about 96.7869344659.

The spelling of 906672 in words is "nine hundred six thousand, six hundred seventy-two".