85210008 has 64 divisors (see below), whose sum is σ = 233785440. Its totient is φ = 25718784.

The previous prime is 85210007. The next prime is 85210039. The reversal of 85210008 is 80001258.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85210008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85210007) 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 15 ways as a sum of consecutive naturals, for example, 13960 + ... + 19112.

Almost surely, 2^85210008 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 85210008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116892720).

85210008 is an abundant number, since it is smaller than the sum of its proper divisors (148575432).

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

85210008 is a wasteful number, since it uses less digits than its factorization.

85210008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 85210008 is about 9230.9267140412. The cubic root of 85210008 is about 440.0447750578.

The spelling of 85210008 in words is "eighty-five million, two hundred ten thousand, eight".