91888000 has 64 divisors (see below), whose sum is σ = 228496320. Its totient is φ = 36748800.

The previous prime is 91887997. The next prime is 91888001. The reversal of 91888000 is 88819.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91888001) 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, 13129 + ... + 18871.

It is an arithmetic number, because the mean of its divisors is an integer number (3570255).

Almost surely, 2^91888000 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 91888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114248160).

91888000 is an abundant number, since it is smaller than the sum of its proper divisors (136608320).

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

91888000 is an equidigital number, since it uses as much as digits as its factorization.

91888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 91888000 is about 9585.8228650440. The cubic root of 91888000 is about 451.2524778424.

The spelling of 91888000 in words is "ninety-one million, eight hundred eighty-eight thousand".