91605760 has 72 divisors (see below), whose sum is σ = 223327440. Its totient is φ = 35991552.

The previous prime is 91605739. The next prime is 91605763. The reversal of 91605760 is 6750619.

It is not an unprimeable number, because it can be changed into a prime (91605763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74914 + ... + 76126.

It is an arithmetic number, because the mean of its divisors is an integer number (3101770).

Almost surely, 2^91605760 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 91605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111663720).

91605760 is an abundant number, since it is smaller than the sum of its proper divisors (131721680).

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

91605760 is a wasteful number, since it uses less digits than its factorization.

91605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 91605760 is about 9571.0898021072. The cubic root of 91605760 is about 450.7899868314.

The spelling of 91605760 in words is "ninety-one million, six hundred five thousand, seven hundred sixty".