91087584 has 96 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 25715712.

The previous prime is 91087583. The next prime is 91087589. The reversal of 91087584 is 48578019.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91087583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59047 + ... + 60569.

It is an arithmetic number, because the mean of its divisors is an integer number (2880360).

Almost surely, 2^91087584 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 91087584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

91087584 is an abundant number, since it is smaller than the sum of its proper divisors (185426976).

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

91087584 is a wasteful number, since it uses less digits than its factorization.

91087584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 91087584 is about 9543.9815590769. The cubic root of 91087584 is about 449.9384014450.

The spelling of 91087584 in words is "ninety-one million, eighty-seven thousand, five hundred eighty-four".