91317120 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 24127488.

The previous prime is 91317119. The next prime is 91317131. The reversal of 91317120 is 2171319.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 381961 + ... + 382199.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^91317120 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 91317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

91317120 is an abundant number, since it is smaller than the sum of its proper divisors (202442880).

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

91317120 is a wasteful number, since it uses less digits than its factorization.

91317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 91317120 is about 9555.9991628296. Note that the first 3 decimals coincide. The cubic root of 91317120 is about 450.3160249244.

Adding to 91317120 its reverse (2171319), we get a palindrome (93488439).

The spelling of 91317120 in words is "ninety-one million, three hundred seventeen thousand, one hundred twenty".