900084 has 24 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 296800.

The previous prime is 900061. The next prime is 900089. The reversal of 900084 is 480009.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 900084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900089) by changing a digit.

900084 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, 934 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

2⁹⁰⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

900084 is an abundant number, since it is smaller than the sum of its proper divisors (1222764).

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

900084 is a wasteful number, since it uses less digits than its factorization.

900084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 900084 is about 948.7275689048. The cubic root of 900084 is about 96.5519421119.

The spelling of 900084 in words is "nine hundred thousand, eighty-four".