85540 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 26496.

The previous prime is 85531. The next prime is 85549. The reversal of 85540 is 4558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85531) and next prime (85549).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797 + ... + 1843.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁸⁵⁵⁴⁰ 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 85540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

85540 is an abundant number, since it is smaller than the sum of its proper divisors (140252).

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

85540 is a wasteful number, since it uses less digits than its factorization.

85540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 85540 is about 292.4722209031. The cubic root of 85540 is about 44.0612095761.

It can be divided in two parts, 85 and 540, that added together give a 4-th power (625 = 5⁴).

The spelling of 85540 in words is "eighty-five thousand, five hundred forty".