906732 has 36 divisors (see below), whose sum is σ = 2325960. Its totient is φ = 297792.

The previous prime is 906727. The next prime is 906749. The reversal of 906732 is 237609.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 906696 and 906705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (64610).

2⁹⁰⁶⁷³² 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 906732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162980).

906732 is an abundant number, since it is smaller than the sum of its proper divisors (1419228).

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

906732 is a wasteful number, since it uses less digits than its factorization.

906732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 906732 is about 952.2247633831. The cubic root of 906732 is about 96.7890694121.

The spelling of 906732 in words is "nine hundred six thousand, seven hundred thirty-two".