85546864 has 40 divisors (see below), whose sum is σ = 179505872. Its totient is φ = 39260160.

The previous prime is 85546831. The next prime is 85546871. The reversal of 85546864 is 46864558.

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 7 ways as a sum of consecutive naturals, for example, 39079 + ... + 41209.

Almost surely, 2^85546864 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 85546864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89752936).

85546864 is an abundant number, since it is smaller than the sum of its proper divisors (93959008).

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

85546864 is a wasteful number, since it uses less digits than its factorization.

85546864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 85546864 is about 9249.1547721941. The cubic root of 85546864 is about 440.6238808147.

The spelling of 85546864 in words is "eighty-five million, five hundred forty-six thousand, eight hundred sixty-four".