91395168 has 96 divisors (see below), whose sum is σ = 255830400. Its totient is φ = 28486656.

The previous prime is 91395137. The next prime is 91395181. The reversal of 91395168 is 86159319.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162055 + ... + 162617.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^91395168 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 91395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).

91395168 is an abundant number, since it is smaller than the sum of its proper divisors (164435232).

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

91395168 is a wasteful number, since it uses less digits than its factorization.

With its successor (91395169) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (684).

91395168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 91395168 is about 9560.0820080165. The cubic root of 91395168 is about 450.4442822062. Note that the first 3 decimals are identical.

The spelling of 91395168 in words is "ninety-one million, three hundred ninety-five thousand, one hundred sixty-eight".