91680 has 48 divisors (see below), whose sum is σ = 290304. Its totient is φ = 24320.

The previous prime is 91673. The next prime is 91691. The reversal of 91680 is 8619.

91680 = T₄₀ + T₄₁ + ... + T₈₄.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 91680.

It is an unprimeable number.

91680 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 7 ways as a sum of consecutive naturals, for example, 385 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁹¹⁶⁸⁰ 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 91680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

91680 is an abundant number, since it is smaller than the sum of its proper divisors (198624).

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

91680 is a wasteful number, since it uses less digits than its factorization.

91680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

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

The square root of 91680 is about 302.7870538844. The cubic root of 91680 is about 45.0911731766.

The spelling of 91680 in words is "ninety-one thousand, six hundred eighty".