91766880 has 72 divisors (see below), whose sum is σ = 313159392. Its totient is φ = 24470784.

The previous prime is 91766879. The next prime is 91766893. The reversal of 91766880 is 8866719.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30424 + ... + 33303.

It is an arithmetic number, because the mean of its divisors is an integer number (4349436).

Almost surely, 2^91766880 is an apocalyptic number.

91766880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91766880 is an abundant number, since it is smaller than the sum of its proper divisors (221392512).

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

91766880 is a wasteful number, since it uses less digits than its factorization.

91766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63748 (or 63737 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 91766880 is about 9579.5031186383. The cubic root of 91766880 is about 451.0541213936.

The spelling of 91766880 in words is "ninety-one million, seven hundred sixty-six thousand, eight hundred eighty".