91764480 has 144 divisors (see below), whose sum is σ = 306109440. Its totient is φ = 23384064.

The previous prime is 91764469. The next prime is 91764493. The reversal of 91764480 is 8446719.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87801 + ... + 88839.

It is an arithmetic number, because the mean of its divisors is an integer number (2125760).

Almost surely, 2^91764480 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 91764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153054720).

91764480 is an abundant number, since it is smaller than the sum of its proper divisors (214344960).

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

91764480 is a wasteful number, since it uses less digits than its factorization.

91764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 91764480 is about 9579.3778503617. The cubic root of 91764480 is about 451.0501891858.

The spelling of 91764480 in words is "ninety-one million, seven hundred sixty-four thousand, four hundred eighty".