85146816 has 56 divisors (see below), whose sum is σ = 228681280. Its totient is φ = 27954432.

The previous prime is 85146811. The next prime is 85146823. The reversal of 85146816 is 61864158.

It is not an unprimeable number, because it can be changed into a prime (85146811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9555 + ... + 16173.

Almost surely, 2^85146816 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 85146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114340640).

85146816 is an abundant number, since it is smaller than the sum of its proper divisors (143534464).

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

85146816 is a wasteful number, since it uses less digits than its factorization.

85146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6691 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 85146816 is about 9227.5032376044. The cubic root of 85146816 is about 439.9359686437.

The spelling of 85146816 in words is "eighty-five million, one hundred forty-six thousand, eight hundred sixteen".