85682688 has 160 divisors (see below), whose sum is σ = 281398656. Its totient is φ = 22560768.

The previous prime is 85682683. The next prime is 85682717. The reversal of 85682688 is 88628658.

It is a self number, because there is not a number n which added to its sum of digits gives 85682688.

It is not an unprimeable number, because it can be changed into a prime (85682683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139470 + ... + 140082.

Almost surely, 2^85682688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140699328).

85682688 is an abundant number, since it is smaller than the sum of its proper divisors (195715968).

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

85682688 is a wasteful number, since it uses less digits than its factorization.

85682688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 85682688 is about 9256.4943688202. The cubic root of 85682688 is about 440.8569524888.

The spelling of 85682688 in words is "eighty-five million, six hundred eighty-two thousand, six hundred eighty-eight".