85053312 has 192 divisors, whose sum is σ = 267798960. Its totient is φ = 25804800.

The previous prime is 85053301. The next prime is 85053313. The reversal of 85053312 is 21335058.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85053313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 842062 + ... + 842162.

Almost surely, 2^85053312 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 85053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133899480).

85053312 is an abundant number, since it is smaller than the sum of its proper divisors (182745648).

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

85053312 is a wasteful number, since it uses less digits than its factorization.

85053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85053312 is about 9222.4352532289. The cubic root of 85053312 is about 439.7748710568.

The spelling of 85053312 in words is "eighty-five million, fifty-three thousand, three hundred twelve".