85588668 has 36 divisors (see below), whose sum is σ = 236018328. Its totient is φ = 25935840.

The previous prime is 85588663. The next prime is 85588697. The reversal of 85588668 is 86688558.

85588668 is a `hidden beast` number, since 8 + 558 + 86 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85588663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107671 + ... + 108462.

Almost surely, 2^85588668 is an apocalyptic number.

It is an amenable number.

85588668 is an abundant number, since it is smaller than the sum of its proper divisors (150429660).

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

85588668 is a wasteful number, since it uses less digits than its factorization.

85588668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216154 (or 216149 counting only the distinct ones).

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

The square root of 85588668 is about 9251.4143783532. The cubic root of 85588668 is about 440.6956420314.

The spelling of 85588668 in words is "eighty-five million, five hundred eighty-eight thousand, six hundred sixty-eight".