85086100 has 36 divisors (see below), whose sum is σ = 201424608. Its totient is φ = 30940000.

The previous prime is 85086077. The next prime is 85086101. The reversal of 85086100 is 168058.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85086101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37576 + ... + 39775.

It is an arithmetic number, because the mean of its divisors is an integer number (5595128).

Almost surely, 2^85086100 is an apocalyptic number.

It is an amenable number.

85086100 is an abundant number, since it is smaller than the sum of its proper divisors (116338508).

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

85086100 is a wasteful number, since it uses less digits than its factorization.

85086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77376 (or 77369 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 85086100 is about 9224.2127035319. The cubic root of 85086100 is about 439.8313747784.

The spelling of 85086100 in words is "eighty-five million, eighty-six thousand, one hundred".