91168740 has 252 divisors, whose sum is σ = 319230324. Its totient is φ = 21835008.

The previous prime is 91168723. The next prime is 91168741. The reversal of 91168740 is 4786119.

It can be written as a sum of positive squares in 6 ways, for example, as 4901796 + 86266944 = 2214^2 + 9288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 91168695 and 91168704.

It is not an unprimeable number, because it can be changed into a prime (91168741) 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 83 ways as a sum of consecutive naturals, for example, 2464002 + ... + 2464038.

It is an arithmetic number, because the mean of its divisors is an integer number (1266787).

Almost surely, 2^91168740 is an apocalyptic number.

91168740 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 91168740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159615162).

91168740 is an abundant number, since it is smaller than the sum of its proper divisors (228061584).

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

91168740 is a wasteful number, since it uses less digits than its factorization.

91168740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 91168740 is about 9548.2322971323. The cubic root of 91168740 is about 450.0719884831.

The spelling of 91168740 in words is "ninety-one million, one hundred sixty-eight thousand, seven hundred forty".