91680096 has 48 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 30400128.

The previous prime is 91680067. The next prime is 91680097. The reversal of 91680096 is 69008619.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91680097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16705 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (5040000).

Almost surely, 2^91680096 is an apocalyptic number.

91680096 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 91680096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

91680096 is an abundant number, since it is smaller than the sum of its proper divisors (150239904).

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

91680096 is a wasteful number, since it uses less digits than its factorization.

91680096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 91680096 is about 9574.9723759393. The cubic root of 91680096 is about 450.9118891527.

The spelling of 91680096 in words is "ninety-one million, six hundred eighty thousand, ninety-six".