85688704 has 64 divisors (see below), whose sum is σ = 184407840. Its totient is φ = 39510016.

The previous prime is 85688663. The next prime is 85688737. The reversal of 85688704 is 40788658.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114957 + ... + 115699.

Almost surely, 2^85688704 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 85688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203920).

85688704 is an abundant number, since it is smaller than the sum of its proper divisors (98719136).

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

85688704 is a wasteful number, since it uses less digits than its factorization.

85688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 85688704 is about 9256.8193241523. The cubic root of 85688704 is about 440.8672701442.

Subtracting from 85688704 its sum of digits (46), we obtain a palindrome (85688658).

The spelling of 85688704 in words is "eighty-five million, six hundred eighty-eight thousand, seven hundred four".