85563864 has 80 divisors (see below), whose sum is σ = 250121520. Its totient is φ = 27276480.

The previous prime is 85563847. The next prime is 85563883. The reversal of 85563864 is 46836558.

85563864 is a `hidden beast` number, since 8 + 5 + 5 + 638 + 6 + 4 = 666.

It is a super-2 number, since 2×85563864² = 14642349645220992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12034 + ... + 17774.

It is an arithmetic number, because the mean of its divisors is an integer number (3126519).

Almost surely, 2^85563864 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 85563864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125060760).

85563864 is an abundant number, since it is smaller than the sum of its proper divisors (164557656).

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

85563864 is a wasteful number, since it uses less digits than its factorization.

85563864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5769 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 85563864 is about 9250.0737294359. The cubic root of 85563864 is about 440.6530660258.

The spelling of 85563864 in words is "eighty-five million, five hundred sixty-three thousand, eight hundred sixty-four".