904896 has 42 divisors (see below), whose sum is σ = 2595372. Its totient is φ = 301440.

The previous prime is 904879. The next prime is 904901. The reversal of 904896 is 698409.

904896 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 904896.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210 + ... + 1361.

2⁹⁰⁴⁸⁹⁶ is an apocalyptic number.

904896 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 904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297686).

904896 is an abundant number, since it is smaller than the sum of its proper divisors (1690476).

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

904896 is a wasteful number, since it uses less digits than its factorization.

904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 904896 is about 951.2602167651. The cubic root of 904896 is about 96.7236973549.

The spelling of 904896 in words is "nine hundred four thousand, eight hundred ninety-six".