890820 has 108 divisors (see below), whose sum is σ = 3174444. Its totient is φ = 201600.

The previous prime is 890809. The next prime is 890821. The reversal of 890820 is 28098.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 254016 = 798^2 + 504^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 890820.

It is not an unprimeable number, because it can be changed into a prime (890821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8770 + ... + 8870.

It is an arithmetic number, because the mean of its divisors is an integer number (29393).

2⁸⁹⁰⁸²⁰ 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 890820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587222).

890820 is an abundant number, since it is smaller than the sum of its proper divisors (2283624).

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

890820 is a wasteful number, since it uses less digits than its factorization.

890820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 890820 is about 943.8326122783. The cubic root of 890820 is about 96.2195495961.

The spelling of 890820 in words is "eight hundred ninety thousand, eight hundred twenty".