85105664 has 88 divisors (see below), whose sum is σ = 201228288. Its totient is φ = 35205120.

The previous prime is 85105609. The next prime is 85105667. The reversal of 85105664 is 46650158.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85105667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222017 + ... + 222399.

Almost surely, 2^85105664 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 85105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100614144).

85105664 is an abundant number, since it is smaller than the sum of its proper divisors (116122624).

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

85105664 is a wasteful number, since it uses less digits than its factorization.

85105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 85105664 is about 9225.2731124883. The cubic root of 85105664 is about 439.8650826014.

The spelling of 85105664 in words is "eighty-five million, one hundred five thousand, six hundred sixty-four".