85244256 has 144 divisors (see below), whose sum is σ = 268186464. Its totient is φ = 25546752.

The previous prime is 85244221. The next prime is 85244261. The reversal of 85244256 is 65244258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85244256.

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 23 ways as a sum of consecutive naturals, for example, 112230 + ... + 112986.

It is an arithmetic number, because the mean of its divisors is an integer number (1862406).

Almost surely, 2^85244256 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 85244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134093232).

85244256 is an abundant number, since it is smaller than the sum of its proper divisors (182942208).

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

85244256 is a wasteful number, since it uses less digits than its factorization.

85244256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 85244256 is about 9232.7815960305. The cubic root of 85244256 is about 440.1037221039.

The spelling of 85244256 in words is "eighty-five million, two hundred forty-four thousand, two hundred fifty-six".