92080 has 20 divisors (see below), whose sum is σ = 214272. Its totient is φ = 36800.

The previous prime is 92077. The next prime is 92083. The reversal of 92080 is 8029.

92080 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (92077) and next prime (92083).

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (92083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496 + ... + 655.

2⁹²⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

92080 is an abundant number, since it is smaller than the sum of its proper divisors (122192).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

92080 is a wasteful number, since it uses less digits than its factorization.

92080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 92080 is about 303.4468652005. The cubic root of 92080 is about 45.1566556578.

It can be divided in two parts, 920 and 80, that added together give a cube (1000 = 10³).

The spelling of 92080 in words is "ninety-two thousand, eighty".