906832 has 30 divisors (see below), whose sum is σ = 1866138. Its totient is φ = 426816.

The previous prime is 906823. The next prime is 906839. The reversal of 906832 is 238609.

906832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 207936 = 836^2 + 456^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 906832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5698 + ... + 5854.

2⁹⁰⁶⁸³² 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 906832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933069).

906832 is an abundant number, since it is smaller than the sum of its proper divisors (959306).

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

906832 is a wasteful number, since it uses less digits than its factorization.

906832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 906832 is about 952.2772705468. The cubic root of 906832 is about 96.7926274466.

The spelling of 906832 in words is "nine hundred six thousand, eight hundred thirty-two".