906336 has 48 divisors (see below), whose sum is σ = 2646000. Its totient is φ = 301824.

The previous prime is 906331. The next prime is 906343. The reversal of 906336 is 633609.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906331) by changing a digit.

906336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2⁹⁰⁶³³⁶ is an apocalyptic number.

906336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323000).

906336 is an abundant number, since it is smaller than the sum of its proper divisors (1739664).

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

906336 is a wasteful number, since it uses less digits than its factorization.

906336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 906336 is about 952.0168065743. The cubic root of 906336 is about 96.7749770259.

The spelling of 906336 in words is "nine hundred six thousand, three hundred thirty-six".