85051008 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 23721984.

The previous prime is 85050937. The next prime is 85051009. The reversal of 85051008 is 80015058.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85051009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427293 + ... + 427491.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^85051008 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 85051008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

85051008 is an abundant number, since it is smaller than the sum of its proper divisors (201364992).

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

85051008 is a wasteful number, since it uses less digits than its factorization.

85051008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 85051008 is about 9222.3103396058. The cubic root of 85051008 is about 439.7709000163.

The spelling of 85051008 in words is "eighty-five million, fifty-one thousand, eight".