85871664 has 100 divisors (see below), whose sum is σ = 250626816. Its totient is φ = 28384128.

The previous prime is 85871663. The next prime is 85871677. The reversal of 85871664 is 46617858.

It is a happy number.

85871664 is a `hidden beast` number, since 8 + 587 + 1 + 6 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (322560) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85871663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224017 + ... + 224399.

Almost surely, 2^85871664 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 85871664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125313408).

85871664 is an abundant number, since it is smaller than the sum of its proper divisors (164755152).

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

85871664 is a wasteful number, since it uses less digits than its factorization.

85871664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 561 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 85871664 is about 9266.6964987529. The cubic root of 85871664 is about 441.1808226959.

The spelling of 85871664 in words is "eighty-five million, eight hundred seventy-one thousand, six hundred sixty-four".