91895680 has 64 divisors (see below), whose sum is σ = 221482800. Its totient is φ = 36458496.

The previous prime is 91895677. The next prime is 91895689. The reversal of 91895680 is 8659819.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 91895680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91895689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88444 + ... + 89476.

Almost surely, 2^91895680 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 91895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110741400).

91895680 is an abundant number, since it is smaller than the sum of its proper divisors (129587120).

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

91895680 is a wasteful number, since it uses less digits than its factorization.

91895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 91895680 is about 9586.2234482616. The cubic root of 91895680 is about 451.2650493877.

The spelling of 91895680 in words is "ninety-one million, eight hundred ninety-five thousand, six hundred eighty".