906408 has 24 divisors (see below), whose sum is σ = 2455050. Its totient is φ = 302112.

The previous prime is 906403. The next prime is 906421. The reversal of 906408 is 804609.

906408 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., 887364 + 19044 = 942^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (906403) by changing a digit.

906408 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 5 ways as a sum of consecutive naturals, for example, 6223 + ... + 6366.

2⁹⁰⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

906408 is an abundant number, since it is smaller than the sum of its proper divisors (1548642).

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

906408 is a wasteful number, since it uses less digits than its factorization.

906408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12594 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906408 is about 952.0546202818. The cubic root of 906408 is about 96.7775395832. Note that the first 3 decimals are identical.

The spelling of 906408 in words is "nine hundred six thousand, four hundred eight".