91705068 has 288 divisors, whose sum is σ = 314603520. Its totient is φ = 22861440.

The previous prime is 91705067. The next prime is 91705073. The reversal of 91705068 is 86050719.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (91705067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132655 + ... + 2132697.

Almost surely, 2^91705068 is an apocalyptic number.

91705068 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91705068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

91705068 is an abundant number, since it is smaller than the sum of its proper divisors (222898452).

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

91705068 is a wasteful number, since it uses less digits than its factorization.

91705068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 91705068 is about 9576.2763118030. The cubic root of 91705068 is about 450.9528255172.

The spelling of 91705068 in words is "ninety-one million, seven hundred five thousand, sixty-eight".