85956066 has 80 divisors (see below), whose sum is σ = 221749440. Its totient is φ = 24377760.

The previous prime is 85956061. The next prime is 85956067. The reversal of 85956066 is 66065958.

85956066 is a `hidden beast` number, since 85 + 9 + 560 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (85956061) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259521 + ... + 259851.

It is an arithmetic number, because the mean of its divisors is an integer number (2771868).

Almost surely, 2^85956066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85956066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110874720).

85956066 is an abundant number, since it is smaller than the sum of its proper divisors (135793374).

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

85956066 is a wasteful number, since it uses less digits than its factorization.

85956066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 85956066 is about 9271.2494303627. The cubic root of 85956066 is about 441.3253187534.

The spelling of 85956066 in words is "eighty-five million, nine hundred fifty-six thousand, sixty-six".