91760 has 40 divisors (see below), whose sum is σ = 226176. Its totient is φ = 34560.

The previous prime is 91757. The next prime is 91771. The reversal of 91760 is 6719.

91760 = T₉₉ + T₁₀₀ + ... + T₁₁₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2462 + ... + 2498.

2⁹¹⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

91760 is an abundant number, since it is smaller than the sum of its proper divisors (134416).

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

91760 is a wasteful number, since it uses less digits than its factorization.

91760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 91760 is about 302.9191311225. The cubic root of 91760 is about 45.1042848881.

The spelling of 91760 in words is "ninety-one thousand, seven hundred sixty".