900820 has 24 divisors (see below), whose sum is σ = 1920744. Its totient is φ = 354816.

The previous prime is 900817. The next prime is 900821. The reversal of 900820 is 28009.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 898704 = 46^2 + 948^2 .

It is a super-2 number, since 2×900820² = 1622953344800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 1768.

It is an arithmetic number, because the mean of its divisors is an integer number (80031).

2⁹⁰⁰⁸²⁰ is an apocalyptic number.

It is an amenable number.

900820 is an abundant number, since it is smaller than the sum of its proper divisors (1019924).

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

900820 is a wasteful number, since it uses less digits than its factorization.

900820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 900820 is about 949.1153776017. The cubic root of 900820 is about 96.5782518300.

Adding to 900820 its reverse (28009), we get a palindrome (928829).

The spelling of 900820 in words is "nine hundred thousand, eight hundred twenty".