91716300 has 270 divisors, whose sum is σ = 326742108. Its totient is φ = 22239360.

The previous prime is 91716293. The next prime is 91716307. The reversal of 91716300 is 361719.

It is an interprime number because it is at equal distance from previous prime (91716293) and next prime (91716307).

It is a tau number, because it is divible by the number of its divisors (270).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (91716307) 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 89 ways as a sum of consecutive naturals, for example, 1368867 + ... + 1368933.

Almost surely, 2^91716300 is an apocalyptic number.

91716300 is a gapful number since it is divisible by the number (90) 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 91716300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163371054).

91716300 is an abundant number, since it is smaller than the sum of its proper divisors (235025808).

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

91716300 is a wasteful number, since it uses less digits than its factorization.

91716300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 91716300 is about 9576.8627430908. The cubic root of 91716300 is about 450.9712356061.

The spelling of 91716300 in words is "ninety-one million, seven hundred sixteen thousand, three hundred".