91808160 has 96 divisors (see below), whose sum is σ = 306234432. Its totient is φ = 23040000.

The previous prime is 91808141. The next prime is 91808237. The reversal of 91808160 is 6180819.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (3189942).

Almost surely, 2^91808160 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 91808160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153117216).

91808160 is an abundant number, since it is smaller than the sum of its proper divisors (214426272).

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

91808160 is a wasteful number, since it uses less digits than its factorization.

91808160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11286 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 91808160 is about 9581.6574766582. The cubic root of 91808160 is about 451.1217446397.

Adding to 91808160 its reverse (6180819), we get a palindrome (97988979).

The spelling of 91808160 in words is "ninety-one million, eight hundred eight thousand, one hundred sixty".