85016008 has 64 divisors (see below), whose sum is σ = 201369600. Its totient is φ = 32685120.

The previous prime is 85015999. The next prime is 85016011. The reversal of 85016008 is 80061058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47791 + ... + 49537.

It is an arithmetic number, because the mean of its divisors is an integer number (3146400).

Almost surely, 2^85016008 is an apocalyptic number.

85016008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85016008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100684800).

85016008 is an abundant number, since it is smaller than the sum of its proper divisors (116353592).

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

85016008 is a wasteful number, since it uses less digits than its factorization.

85016008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 85016008 is about 9220.4125721141. The cubic root of 85016008 is about 439.7105672281.

The spelling of 85016008 in words is "eighty-five million, sixteen thousand, eight".