85868586 has 80 divisors (see below), whose sum is σ = 200175624. Its totient is φ = 27495936.

The previous prime is 85868579. The next prime is 85868597. The reversal of 85868586 is 68586858.

85868586 is a `hidden beast` number, since 8 + 58 + 6 + 8 + 586 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82464561 + 3404025 = 9081^2 + 1845^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 626710 + ... + 626846.

Almost surely, 2^85868586 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85868586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100087812).

85868586 is an abundant number, since it is smaller than the sum of its proper divisors (114307038).

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

85868586 is a wasteful number, since it uses less digits than its factorization.

85868586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 85868586 is about 9266.5304186626. The cubic root of 85868586 is about 441.1755513769.

The spelling of 85868586 in words is "eighty-five million, eight hundred sixty-eight thousand, five hundred eighty-six".