85775664 has 80 divisors (see below), whose sum is σ = 241172064. Its totient is φ = 26112000.

The previous prime is 85775663. The next prime is 85775687. The reversal of 85775664 is 46657758.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85775663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62344 + ... + 63704.

Almost surely, 2^85775664 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 85775664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120586032).

85775664 is an abundant number, since it is smaller than the sum of its proper divisors (155396400).

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

85775664 is a wasteful number, since it uses less digits than its factorization.

85775664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The square root of 85775664 is about 9261.5152108065. The cubic root of 85775664 is about 441.0163557470.

It can be divided in two parts, 8577 and 5664, that added together give a palindrome (14241).

The spelling of 85775664 in words is "eighty-five million, seven hundred seventy-five thousand, six hundred sixty-four".