85618816 has 32 divisors (see below), whose sum is σ = 172645200. Its totient is φ = 42288384.

The previous prime is 85618789. The next prime is 85618859. The reversal of 85618816 is 61881658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6595 + ... + 14653.

Almost surely, 2^85618816 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 85618816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86322600).

85618816 is an abundant number, since it is smaller than the sum of its proper divisors (87026384).

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

85618816 is an equidigital number, since it uses as much as digits as its factorization.

85618816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8144 counting only the distinct ones).

The product of its digits is 92160, while the sum is 43.

The square root of 85618816 is about 9253.0436073759. The cubic root of 85618816 is about 440.7473799263.

The spelling of 85618816 in words is "eighty-five million, six hundred eighteen thousand, eight hundred sixteen".