91740 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 22080.

The previous prime is 91733. The next prime is 91753. The reversal of 91740 is 4719.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁹¹⁷⁴⁰ 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 91740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

91740 is an abundant number, since it is smaller than the sum of its proper divisors (190500).

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

91740 is a wasteful number, since it uses less digits than its factorization.

91740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 91740 is about 302.8861172124. The cubic root of 91740 is about 45.1010076749.

Subtracting from 91740 its sum of digits (21), we obtain a palindrome (91719).

The spelling of 91740 in words is "ninety-one thousand, seven hundred forty".