91776 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 30464.

The previous prime is 91771. The next prime is 91781. The reversal of 91776 is 67719.

It is an interprime number because it is at equal distance from previous prime (91771) and next prime (91781).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91776.

It is not an unprimeable number, because it can be changed into a prime (91771) 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, 265 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2⁹¹⁷⁷⁶ is an apocalyptic number.

91776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

91776 is an abundant number, since it is smaller than the sum of its proper divisors (153024).

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

91776 is a wasteful number, since it uses less digits than its factorization.

91776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 2646, while the sum is 30.

The square root of 91776 is about 302.9455396602. The cubic root of 91776 is about 45.1069063158.

Adding to 91776 its sum of digits (30), we get a triangular number (91806 = T₄₂₈).

The spelling of 91776 in words is "ninety-one thousand, seven hundred seventy-six".