85140 has 72 divisors (see below), whose sum is σ = 288288. Its totient is φ = 20160.

The previous prime is 85133. The next prime is 85147. The reversal of 85140 is 4158.

85140 = 9² + 10² + ... + 63².

It is an interprime number because it is at equal distance from previous prime (85133) and next prime (85147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85147) by changing a digit.

85140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 1959 + ... + 2001.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2⁸⁵¹⁴⁰ 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 85140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144).

85140 is an abundant number, since it is smaller than the sum of its proper divisors (203148).

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

85140 is a wasteful number, since it uses less digits than its factorization.

85140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85140 is about 291.7875939789. The cubic root of 85140 is about 43.9924229377.

Adding to 85140 its sum of digits (18), we get a palindrome (85158).

Adding to 85140 its reverse (4158), we get a palindrome (89298).

It can be divided in two parts, 85 and 140, that added together give a square (225 = 15²).

The spelling of 85140 in words is "eighty-five thousand, one hundred forty".