8106192 has 60 divisors (see below), whose sum is σ = 23256324. Its totient is φ = 2634240.

The previous prime is 8106181. The next prime is 8106199. The reversal of 8106192 is 2916018.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 3594816 = 2124^2 + 1896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8106199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5218 + ... + 6590.

Almost surely, 2^8106192 is an apocalyptic number.

8106192 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628162).

8106192 is an abundant number, since it is smaller than the sum of its proper divisors (15150132).

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

8106192 is a wasteful number, since it uses less digits than its factorization.

8106192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8106192 is about 2847.1375098509. The cubic root of 8106192 is about 200.8810464201.

The spelling of 8106192 in words is "eight million, one hundred six thousand, one hundred ninety-two".