85769712 has 160 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 24192000.

The previous prime is 85769711. The next prime is 85769729. The reversal of 85769712 is 21796758.

85769712 is a `hidden beast` number, since 8 + 576 + 9 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85769711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341587 + ... + 341837.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^85769712 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 85769712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

85769712 is an abundant number, since it is smaller than the sum of its proper divisors (199212048).

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

85769712 is a wasteful number, since it uses less digits than its factorization.

85769712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 85769712 is about 9261.1938755217. The cubic root of 85769712 is about 441.0061547570.

The spelling of 85769712 in words is "eighty-five million, seven hundred sixty-nine thousand, seven hundred twelve".