904608 has 60 divisors (see below), whose sum is σ = 2668050. Its totient is φ = 300672.

The previous prime is 904601. The next prime is 904619. The reversal of 904608 is 806409.

904608 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., 685584 + 219024 = 828^2 + 468^2 .

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

It is not an unprimeable number, because it can be changed into a prime (904601) by changing a digit.

904608 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 9 ways as a sum of consecutive naturals, for example, 2418 + ... + 2766.

2⁹⁰⁴⁶⁰⁸ 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 904608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334025).

904608 is an abundant number, since it is smaller than the sum of its proper divisors (1763442).

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

904608 is a wasteful number, since it uses less digits than its factorization.

904608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

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

The square root of 904608 is about 951.1088265808. The cubic root of 904608 is about 96.7134348936.

The spelling of 904608 in words is "nine hundred four thousand, six hundred eight".