85666542 has 32 divisors (see below), whose sum is σ = 186321408. Its totient is φ = 26100576.

The previous prime is 85666501. The next prime is 85666549. The reversal of 85666542 is 24566658.

It is a junction number, because it is equal to n+sod(n) for n = 85666494 and 85666503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85666549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (5822544).

Almost surely, 2^85666542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85666542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93160704).

85666542 is an abundant number, since it is smaller than the sum of its proper divisors (100654866).

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

85666542 is a wasteful number, since it uses less digits than its factorization.

85666542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784.

The product of its digits is 345600, while the sum is 42.

The square root of 85666542 is about 9255.6221833003. The cubic root of 85666542 is about 440.8292591329.

The spelling of 85666542 in words is "eighty-five million, six hundred sixty-six thousand, five hundred forty-two".