85776064 has 84 divisors (see below), whose sum is σ = 192984120. Its totient is φ = 37509120.

The previous prime is 85776037. The next prime is 85776071. The reversal of 85776064 is 46067758.

It is a self number, because there is not a number n which added to its sum of digits gives 85776064.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963732 + ... + 963820.

It is an arithmetic number, because the mean of its divisors is an integer number (2297430).

Almost surely, 2^85776064 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 85776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96492060).

85776064 is an abundant number, since it is smaller than the sum of its proper divisors (107208056).

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

85776064 is a wasteful number, since it uses less digits than its factorization.

85776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 85776064 is about 9261.5368055199. The cubic root of 85776064 is about 441.0170412804.

It can be divided in two parts, 8577 and 6064, that added together give a palindrome (14641).

The spelling of 85776064 in words is "eighty-five million, seven hundred seventy-six thousand, sixty-four".