85128064 has 32 divisors (see below), whose sum is σ = 193820400. Its totient is φ = 36483072.

The previous prime is 85128049. The next prime is 85128067. The reversal of 85128064 is 46082158.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85128067) 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 3 ways as a sum of consecutive naturals, for example, 46609 + ... + 48400.

Almost surely, 2^85128064 is an apocalyptic number.

It is an amenable number.

85128064 is an abundant number, since it is smaller than the sum of its proper divisors (108692336).

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

85128064 is an equidigital number, since it uses as much as digits as its factorization.

85128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95030 (or 95018 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 85128064 is about 9226.4870888112. The cubic root of 85128064 is about 439.9036703721.

The spelling of 85128064 in words is "eighty-five million, one hundred twenty-eight thousand, sixty-four".