91768560 has 160 divisors (see below), whose sum is σ = 311646720. Its totient is φ = 22201344.

The previous prime is 91768553. The next prime is 91768561. The reversal of 91768560 is 6586719.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91768561) 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 31 ways as a sum of consecutive naturals, for example, 208821 + ... + 209259.

It is an arithmetic number, because the mean of its divisors is an integer number (1947792).

Almost surely, 2^91768560 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 91768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155823360).

91768560 is an abundant number, since it is smaller than the sum of its proper divisors (219878160).

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

91768560 is a wasteful number, since it uses less digits than its factorization.

91768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 91768560 is about 9579.5908054572. The cubic root of 91768560 is about 451.0568738983.

The spelling of 91768560 in words is "ninety-one million, seven hundred sixty-eight thousand, five hundred sixty".