91680768 has 104 divisors (see below), whose sum is σ = 271941200. Its totient is φ = 30523392.

The previous prime is 91680763. The next prime is 91680781. The reversal of 91680768 is 86708619.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91680763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110178 + ... + 111006.

Almost surely, 2^91680768 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 91680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135970600).

91680768 is an abundant number, since it is smaller than the sum of its proper divisors (180260432).

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

91680768 is an equidigital number, since it uses as much as digits as its factorization.

91680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 91680768 is about 9575.0074673600. The cubic root of 91680768 is about 450.9129908533.

The spelling of 91680768 in words is "ninety-one million, six hundred eighty thousand, seven hundred sixty-eight".