890500 has 48 divisors (see below), whose sum is σ = 2109744. Its totient is φ = 326400.

The previous prime is 890467. The next prime is 890501. The reversal of 890500 is 5098.

890500 = 181² + 182² + ... + 204².

It can be written as a sum of positive squares in 8 ways, for example, as 419904 + 470596 = 648^2 + 686^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (890501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432 + ... + 6568.

It is an arithmetic number, because the mean of its divisors is an integer number (43953).

2⁸⁹⁰⁵⁰⁰ 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 890500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054872).

890500 is an abundant number, since it is smaller than the sum of its proper divisors (1219244).

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

890500 is a wasteful number, since it uses less digits than its factorization.

890500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 890500 is about 943.6630754671. The cubic root of 890500 is about 96.2080269004.

Adding to 890500 its reverse (5098), we get a palindrome (895598).

The spelling of 890500 in words is "eight hundred ninety thousand, five hundred".