91590 has 32 divisors (see below), whose sum is σ = 228096. Its totient is φ = 23520.

The previous prime is 91583. The next prime is 91591. The reversal of 91590 is 9519.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 91590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91591) 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, 1255 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (7128).

2⁹¹⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048).

91590 is an abundant number, since it is smaller than the sum of its proper divisors (136506).

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

91590 is a wasteful number, since it uses less digits than its factorization.

91590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 91590 is about 302.6383980925. The cubic root of 91590 is about 45.0764133808.

The spelling of 91590 in words is "ninety-one thousand, five hundred ninety".