85846068 has 288 divisors, whose sum is σ = 297443328. Its totient is φ = 20995200.

The previous prime is 85846043. The next prime is 85846081. The reversal of 85846068 is 86064858.

85846068 is a `hidden beast` number, since 8 + 584 + 6 + 0 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2320146 + ... + 2320182.

Almost surely, 2^85846068 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 85846068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148721664).

85846068 is an abundant number, since it is smaller than the sum of its proper divisors (211597260).

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

85846068 is a wasteful number, since it uses less digits than its factorization.

85846068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85846068 is about 9265.3153211318. The cubic root of 85846068 is about 441.1369836847.

The spelling of 85846068 in words is "eighty-five million, eight hundred forty-six thousand, sixty-eight".