91766220 has 168 divisors, whose sum is σ = 322828464. Its totient is φ = 19361664.

The previous prime is 91766197. The next prime is 91766243. The reversal of 91766220 is 2266719.

It is an interprime number because it is at equal distance from previous prime (91766197) and next prime (91766243).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 637 × 245 × 588.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7058934 + ... + 7058946.

It is an arithmetic number, because the mean of its divisors is an integer number (1921598).

Almost surely, 2^91766220 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 91766220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161414232).

91766220 is an abundant number, since it is smaller than the sum of its proper divisors (231062244).

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

91766220 is an equidigital number, since it uses as much as digits as its factorization.

91766220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 91766220 is about 9579.4686700255. The cubic root of 91766220 is about 451.0530400433.

The spelling of 91766220 in words is "ninety-one million, seven hundred sixty-six thousand, two hundred twenty".