85206864 has 80 divisors (see below), whose sum is σ = 227128320. Its totient is φ = 27511680.

The previous prime is 85206829. The next prime is 85206871. The reversal of 85206864 is 46860258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403719 + ... + 403929.

It is an arithmetic number, because the mean of its divisors is an integer number (2839104).

Almost surely, 2^85206864 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 85206864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).

85206864 is an abundant number, since it is smaller than the sum of its proper divisors (141921456).

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

85206864 is a wasteful number, since it uses less digits than its factorization.

85206864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 85206864 is about 9230.7564153757. The cubic root of 85206864 is about 440.0393628696.

The spelling of 85206864 in words is "eighty-five million, two hundred six thousand, eight hundred sixty-four".