80916 has 24 divisors (see below), whose sum is σ = 206304. Its totient is φ = 24480.

The previous prime is 80911. The next prime is 80917. The reversal of 80916 is 61908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80911) by changing a digit.

80916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (8596).

2⁸⁰⁹¹⁶ is an apocalyptic number.

It is an amenable number.

80916 is an abundant number, since it is smaller than the sum of its proper divisors (125388).

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 (103152).

80916 is a wasteful number, since it uses less digits than its factorization.

80916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 80916 is about 284.4573781782. The cubic root of 80916 is about 43.2525252738.

The spelling of 80916 in words is "eighty thousand, nine hundred sixteen".