85586688 has 162 divisors, whose sum is σ = 272123852. Its totient is φ = 25850880.

The previous prime is 85586681. The next prime is 85586707. The reversal of 85586688 is 88668558.

85586688 is a `hidden beast` number, since 8 + 558 + 6 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (85586681) 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 17 ways as a sum of consecutive naturals, for example, 278631 + ... + 278937.

Almost surely, 2^85586688 is an apocalyptic number.

85586688 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 85586688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136061926).

85586688 is an abundant number, since it is smaller than the sum of its proper divisors (186537164).

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

85586688 is a wasteful number, since it uses less digits than its factorization.

85586688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

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

The square root of 85586688 is about 9251.3073670698. The cubic root of 85586688 is about 440.6922436683.

The spelling of 85586688 in words is "eighty-five million, five hundred eighty-six thousand, six hundred eighty-eight".