91880 has 16 divisors (see below), whose sum is σ = 206820. Its totient is φ = 36736.

The previous prime is 91873. The next prime is 91909. The reversal of 91880 is 8819.

91880 = T₂ + T₃ + ... + T₈₁.

91880 = 18² + 19² + ... + 65².

It can be written as a sum of positive squares in 2 ways, for example, as 91204 + 676 = 302^2 + 26^2 .

It is a plaindrome in base 14.

It is an unprimeable number.

91880 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 3 ways as a sum of consecutive naturals, for example, 1109 + ... + 1188.

2⁹¹⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

91880 is an abundant number, since it is smaller than the sum of its proper divisors (114940).

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 (103410).

91880 is a wasteful number, since it uses less digits than its factorization.

91880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 91880 is about 303.1171390733. The cubic root of 91880 is about 45.1239381738.

The spelling of 91880 in words is "ninety-one thousand, eight hundred eighty".