85706568 has 192 divisors, whose sum is σ = 263577600. Its totient is φ = 25038720.

The previous prime is 85706567. The next prime is 85706573. The reversal of 85706568 is 86560758.

85706568 is a `hidden beast` number, since 85 + 7 + 0 + 6 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (85706561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823521 + ... + 1823567.

It is an arithmetic number, because the mean of its divisors is an integer number (1372800).

Almost surely, 2^85706568 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 85706568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131788800).

85706568 is an abundant number, since it is smaller than the sum of its proper divisors (177871032).

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

85706568 is a wasteful number, since it uses less digits than its factorization.

85706568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 85706568 is about 9257.7841841339. The cubic root of 85706568 is about 440.8979046982.

The spelling of 85706568 in words is "eighty-five million, seven hundred six thousand, five hundred sixty-eight".