91218960 has 200 divisors, whose sum is σ = 362256576. Its totient is φ = 20839680.

The previous prime is 91218917. The next prime is 91218971. The reversal of 91218960 is 6981219.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 44355 + ... + 46365.

Almost surely, 2^91218960 is an apocalyptic number.

91218960 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 91218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181128288).

91218960 is an abundant number, since it is smaller than the sum of its proper divisors (271037616).

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

91218960 is a wasteful number, since it uses less digits than its factorization.

91218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 91218960 is about 9550.8617412252. The cubic root of 91218960 is about 450.1546135376.

It can be divided in two parts, 9121 and 8960, that added together give a palindrome (18081).

The spelling of 91218960 in words is "ninety-one million, two hundred eighteen thousand, nine hundred sixty".