85555008 has 224 divisors, whose sum is σ = 314065920. Its totient is φ = 22187520.

The previous prime is 85555007. The next prime is 85555013. The reversal of 85555008 is 80055558.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85555003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132735 + ... + 133377.

It is an arithmetic number, because the mean of its divisors is an integer number (1402080).

Almost surely, 2^85555008 is an apocalyptic number.

85555008 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 85555008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157032960).

85555008 is an abundant number, since it is smaller than the sum of its proper divisors (228510912).

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

85555008 is a wasteful number, since it uses less digits than its factorization.

85555008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 85555008 is about 9249.5950181616. The cubic root of 85555008 is about 440.6378627300.

The spelling of 85555008 in words is "eighty-five million, five hundred fifty-five thousand, eight".