85064064 has 128 divisors (see below), whose sum is σ = 242352000. Its totient is φ = 26357760.

The previous prime is 85064059. The next prime is 85064081. The reversal of 85064064 is 46046058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 649279 + ... + 649409.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^85064064 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 85064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121176000).

85064064 is an abundant number, since it is smaller than the sum of its proper divisors (157287936).

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

85064064 is a wasteful number, since it uses less digits than its factorization.

85064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 85064064 is about 9223.0181611011. The cubic root of 85064064 is about 439.7934016312.

The spelling of 85064064 in words is "eighty-five million, sixty-four thousand, sixty-four".