85204864 has 64 divisors (see below), whose sum is σ = 177724800. Its totient is φ = 40642560.

The previous prime is 85204859. The next prime is 85204877. The reversal of 85204864 is 46840258.

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, 432414 + ... + 432610.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2^85204864 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 85204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862400).

85204864 is an abundant number, since it is smaller than the sum of its proper divisors (92519936).

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

85204864 is a wasteful number, since it uses less digits than its factorization.

85204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 85204864 is about 9230.6480812563. The cubic root of 85204864 is about 440.0359199326.

It can be divided in two parts, 85204 and 864, that added together give a palindrome (86068).

The spelling of 85204864 in words is "eighty-five million, two hundred four thousand, eight hundred sixty-four".