8190 has 48 divisors (see below), whose sum is σ = 26208. Its totient is φ = 1728.

The previous prime is 8179. The next prime is 8191. The reversal of 8190 is 918.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×8190² = 134152200, which contains 22 as substring.

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

It is a Curzon number.

It is a nialpdrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8191) by changing a digit.

8190 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 23 ways as a sum of consecutive naturals, for example, 624 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2⁸¹⁹⁰ is an apocalyptic number.

It is a pronic number, being equal to 90×91.

It is a practical number, because each smaller number is the sum of distinct divisors of 8190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104).

8190 is an abundant number, since it is smaller than the sum of its proper divisors (18018).

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

8190 is a wasteful number, since it uses less digits than its factorization.

8190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 30 counting only the distinct ones).

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

The square root of 8190 is about 90.4986187740. The cubic root of 8190 is about 20.1570961426.

Subtracting from 8190 its product of nonzero digits (72), we obtain a palindrome (8118).

It can be divided in two parts, 81 and 90, that added together give a palindrome (171).

The spelling of 8190 in words is "eight thousand, one hundred ninety".