85109664 has 96 divisors (see below), whose sum is σ = 243432000. Its totient is φ = 25933824.

The previous prime is 85109653. The next prime is 85109669. The reversal of 85109664 is 46690158.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85109669) 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 15 ways as a sum of consecutive naturals, for example, 52092 + ... + 53700.

It is an arithmetic number, because the mean of its divisors is an integer number (2535750).

Almost surely, 2^85109664 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 85109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716000).

85109664 is an abundant number, since it is smaller than the sum of its proper divisors (158322336).

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

85109664 is a wasteful number, since it uses less digits than its factorization.

85109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85109664 is about 9225.4899056906. The cubic root of 85109664 is about 439.8719737713.

The spelling of 85109664 in words is "eighty-five million, one hundred nine thousand, six hundred sixty-four".