85352816 has 40 divisors (see below), whose sum is σ = 176801184. Its totient is φ = 39818240.

The previous prime is 85352809. The next prime is 85352833. The reversal of 85352816 is 61825358.

It is a self number, because there is not a number n which added to its sum of digits gives 85352816.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12260 + ... + 17916.

Almost surely, 2^85352816 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 85352816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88400592).

85352816 is an abundant number, since it is smaller than the sum of its proper divisors (91448368).

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

85352816 is a wasteful number, since it uses less digits than its factorization.

85352816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5723 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 85352816 is about 9238.6587771169. The cubic root of 85352816 is about 440.2904693593.

It can be divided in two parts, 85352 and 816, that added together give a palindrome (86168).

The spelling of 85352816 in words is "eighty-five million, three hundred fifty-two thousand, eight hundred sixteen".