904128 has 56 divisors (see below), whose sum is σ = 2542032. Its totient is φ = 282624.

The previous prime is 904121. The next prime is 904147. The reversal of 904128 is 821409.

904128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 904098 and 904107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904121) by changing a digit.

904128 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, 3126 + ... + 3402.

2⁹⁰⁴¹²⁸ 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 904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271016).

904128 is an abundant number, since it is smaller than the sum of its proper divisors (1637904).

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

904128 is a wasteful number, since it uses less digits than its factorization.

904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 904128 is about 950.8564560437. The cubic root of 904128 is about 96.6963259499.

The spelling of 904128 in words is "nine hundred four thousand, one hundred twenty-eight".