85586910 has 48 divisors (see below), whose sum is σ = 214767504. Its totient is φ = 21826816.

The previous prime is 85586903. The next prime is 85586927. The reversal of 85586910 is 1968558.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13174 + ... + 18566.

It is an arithmetic number, because the mean of its divisors is an integer number (4474323).

Almost surely, 2^85586910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85586910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107383752).

85586910 is an abundant number, since it is smaller than the sum of its proper divisors (129180594).

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

85586910 is a wasteful number, since it uses less digits than its factorization.

85586910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 85586910 is about 9251.3193653662. The cubic root of 85586910 is about 440.6926246995.

The spelling of 85586910 in words is "eighty-five million, five hundred eighty-six thousand, nine hundred ten".