8092160 has 80 divisors (see below), whose sum is σ = 20255400. Its totient is φ = 3096576.

The previous prime is 8092141. The next prime is 8092177. The reversal of 8092160 is 612908.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 952576 = 2672^2 + 976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 74186 + ... + 74294.

Almost surely, 2^8092160 is an apocalyptic number.

8092160 is a gapful number since it is divisible by the number (80) 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 8092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127700).

8092160 is an abundant number, since it is smaller than the sum of its proper divisors (12163240).

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

8092160 is a wasteful number, since it uses less digits than its factorization.

8092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8092160 is about 2844.6722131029. The cubic root of 8092160 is about 200.7650696106.

The spelling of 8092160 in words is "eight million, ninety-two thousand, one hundred sixty".