85180000 has 60 divisors (see below), whose sum is σ = 209604780. Its totient is φ = 34064000.

The previous prime is 85179967. The next prime is 85180003. The reversal of 85180000 is 8158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85180003) 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 9 ways as a sum of consecutive naturals, for example, 17871 + ... + 22129.

It is an arithmetic number, because the mean of its divisors is an integer number (3493413).

Almost surely, 2^85180000 is an apocalyptic number.

85180000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104802390).

85180000 is an abundant number, since it is smaller than the sum of its proper divisors (124424780).

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

85180000 is an equidigital number, since it uses as much as digits as its factorization.

85180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 85180000 is about 9229.3011653104. The cubic root of 85180000 is about 439.9931128399.

Adding to 85180000 its reverse (8158), we get a palindrome (85188158).

The spelling of 85180000 in words is "eighty-five million, one hundred eighty thousand".