904890 has 64 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 198720.

The previous prime is 904879. The next prime is 904901. The reversal of 904890 is 98409.

904890 = 1² + 2² + ... + 139².

It is an interprime number because it is at equal distance from previous prime (904879) and next prime (904901).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 904890.

It is an unprimeable number.

904890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6441 + ... + 6579.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁹⁰⁴⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

904890 is an abundant number, since it is smaller than the sum of its proper divisors (1675590).

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

904890 is a wasteful number, since it uses less digits than its factorization.

904890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 904890 is about 951.2570630487. The cubic root of 904890 is about 96.7234835758.

The spelling of 904890 in words is "nine hundred four thousand, eight hundred ninety".