85166436 has 48 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 26635680.

The previous prime is 85166429. The next prime is 85166437. The reversal of 85166436 is 63466158.

It is a junction number, because it is equal to n+sod(n) for n = 85166394 and 85166403.

It is not an unprimeable number, because it can be changed into a prime (85166437) by changing a digit.

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, 22651 + ... + 26141.

It is an arithmetic number, because the mean of its divisors is an integer number (4399920).

Almost surely, 2^85166436 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 85166436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105598080).

85166436 is an abundant number, since it is smaller than the sum of its proper divisors (126029724).

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

85166436 is a wasteful number, since it uses less digits than its factorization.

85166436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3622 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 85166436 is about 9228.5663025196. The cubic root of 85166436 is about 439.9697568745.

The spelling of 85166436 in words is "eighty-five million, one hundred sixty-six thousand, four hundred thirty-six".