85185180 has 72 divisors (see below), whose sum is σ = 267321600. Its totient is φ = 21931392.

The previous prime is 85185173. The next prime is 85185187. The reversal of 85185180 is 8158158.

It is an interprime number because it is at equal distance from previous prime (85185173) and next prime (85185187).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85185187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2940 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^85185180 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 85185180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

85185180 is an abundant number, since it is smaller than the sum of its proper divisors (182136420).

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

85185180 is a wasteful number, since it uses less digits than its factorization.

85185180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16363 (or 16358 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 85185180 is about 9229.5817890086. The cubic root of 85185180 is about 440.0020316711.

The spelling of 85185180 in words is "eighty-five million, one hundred eighty-five thousand, one hundred eighty".