91838880 has 192 divisors, whose sum is σ = 367476480. Its totient is φ = 20984832.

The previous prime is 91838863. The next prime is 91838917. The reversal of 91838880 is 8883819.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 28722 + ... + 31758.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2^91838880 is an apocalyptic number.

91838880 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 91838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

91838880 is an abundant number, since it is smaller than the sum of its proper divisors (275637600).

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

91838880 is a wasteful number, since it uses less digits than its factorization.

91838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 91838880 is about 9583.2604055196. The cubic root of 91838880 is about 451.1720557614.

The spelling of 91838880 in words is "ninety-one million, eight hundred thirty-eight thousand, eight hundred eighty".