85206114 has 64 divisors (see below), whose sum is σ = 217313280. Its totient is φ = 24241680.

The previous prime is 85206103. The next prime is 85206151. The reversal of 85206114 is 41160258.

It is a super-5 number, since 5×85206114⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162657 + ... + 163179.

It is an arithmetic number, because the mean of its divisors is an integer number (3395520).

Almost surely, 2^85206114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85206114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108656640).

85206114 is an abundant number, since it is smaller than the sum of its proper divisors (132107166).

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

85206114 is a wasteful number, since it uses less digits than its factorization.

85206114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85206114 is about 9230.7157902299. The cubic root of 85206114 is about 440.0380717745.

The spelling of 85206114 in words is "eighty-five million, two hundred six thousand, one hundred fourteen".