85552064 has 84 divisors (see below), whose sum is σ = 190679832. Its totient is φ = 37854720.

The previous prime is 85552043. The next prime is 85552067. The reversal of 85552064 is 46025558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85552067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799499 + ... + 799605.

It is an arithmetic number, because the mean of its divisors is an integer number (2269998).

Almost surely, 2^85552064 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 85552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95339916).

85552064 is an abundant number, since it is smaller than the sum of its proper divisors (105127768).

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

85552064 is a wasteful number, since it uses less digits than its factorization.

85552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 85552064 is about 9249.4358746899. The cubic root of 85552064 is about 440.6328084662.

The spelling of 85552064 in words is "eighty-five million, five hundred fifty-two thousand, sixty-four".