85334436 has 72 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 25616640.

The previous prime is 85334429. The next prime is 85334437. The reversal of 85334436 is 63443358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85334436.

It is not an unprimeable number, because it can be changed into a prime (85334437) 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 23 ways as a sum of consecutive naturals, for example, 43795 + ... + 45701.

It is an arithmetic number, because the mean of its divisors is an integer number (3298932).

Almost surely, 2^85334436 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 85334436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552).

85334436 is an abundant number, since it is smaller than the sum of its proper divisors (152188668).

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

85334436 is a wasteful number, since it uses less digits than its factorization.

85334436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2036 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 85334436 is about 9237.6639904253. The cubic root of 85334436 is about 440.2588628263.

The spelling of 85334436 in words is "eighty-five million, three hundred thirty-four thousand, four hundred thirty-six".