85618008 has 96 divisors (see below), whose sum is σ = 266441760. Its totient is φ = 24330240.

The previous prime is 85617991. The next prime is 85618019. The reversal of 85618008 is 80081658.

It is a Cunningham number, because it is equal to 9253²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 129198 + ... + 129858.

It is an arithmetic number, because the mean of its divisors is an integer number (2775435).

Almost surely, 2^85618008 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 85618008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133220880).

85618008 is an abundant number, since it is smaller than the sum of its proper divisors (180823752).

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

85618008 is a wasteful number, since it uses less digits than its factorization.

85618008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 85618008 is about 9252.9999459635. Note that the first 4 decimals coincide. The cubic root of 85618008 is about 440.7459934515.

The spelling of 85618008 in words is "eighty-five million, six hundred eighteen thousand, eight".