904960 has 72 divisors (see below), whose sum is σ = 2501856. Its totient is φ = 307200.

The previous prime is 904933. The next prime is 904987. The reversal of 904960 is 69409.

It is an interprime number because it is at equal distance from previous prime (904933) and next prime (904987).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

904960 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, 8910 + ... + 9010.

It is an arithmetic number, because the mean of its divisors is an integer number (34748).

2⁹⁰⁴⁹⁶⁰ 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 904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250928).

904960 is an abundant number, since it is smaller than the sum of its proper divisors (1596896).

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

904960 is a wasteful number, since it uses less digits than its factorization.

904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 904960 is about 951.2938557565. The cubic root of 904960 is about 96.7259776061.

It can be divided in two parts, 90 and 4960, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 904960 in words is "nine hundred four thousand, nine hundred sixty".