85645056 has 144 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 24059904.

The previous prime is 85645019. The next prime is 85645067. The reversal of 85645056 is 65054658.

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 15 ways as a sum of consecutive naturals, for example, 478375 + ... + 478553.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^85645056 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 85645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

85645056 is an abundant number, since it is smaller than the sum of its proper divisors (179257344).

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

85645056 is a wasteful number, since it uses less digits than its factorization.

85645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 85645056 is about 9254.4614105846. The cubic root of 85645056 is about 440.7924012994.

The spelling of 85645056 in words is "eighty-five million, six hundred forty-five thousand, fifty-six".