10890 has 36 divisors (see below), whose sum is σ = 31122. Its totient is φ = 2640.

The previous prime is 10889. The next prime is 10891. The reversal of 10890 is 9801.

It is an interprime number because it is at equal distance from previous prime (10889) and next prime (10891).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 1089 = 99^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (10891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 985 + ... + 995.

2¹⁰⁸⁹⁰ is an apocalyptic number.

10890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561).

10890 is an abundant number, since it is smaller than the sum of its proper divisors (20232).

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

10890 is a wasteful number, since it uses less digits than its factorization.

10890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10890 is about 104.3551627856. The cubic root of 10890 is about 22.1654197451.

Subtracting from 10890 its reverse (9801), we obtain a square (1089 = 33²).

It can be divided in two parts, 10 and 890, that added together give a square (900 = 30²).

The spelling of 10890 in words is "ten thousand, eight hundred ninety".