91140 has 72 divisors (see below), whose sum is σ = 306432. Its totient is φ = 20160.

The previous prime is 91139. The next prime is 91141. The reversal of 91140 is 4119.

It is an interprime number because it is at equal distance from previous prime (91139) and next prime (91141).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2⁹¹¹⁴⁰ 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 91140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

91140 is an abundant number, since it is smaller than the sum of its proper divisors (215292).

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

91140 is a wasteful number, since it uses less digits than its factorization.

91140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 91140 is about 301.8940211399. The cubic root of 91140 is about 45.0024690003.

Subtracting from 91140 its sum of digits (15), we obtain a cube (91125 = 45³).

Adding to 91140 its reverse (4119), we get a palindrome (95259).

It can be divided in two parts, 91 and 140, that added together give a triangular number (231 = T₂₁).

The spelling of 91140 in words is "ninety-one thousand, one hundred forty".