85062144 has 80 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 27955200.

The previous prime is 85062137. The next prime is 85062157. The reversal of 85062144 is 44126058.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120994 + ... + 121694.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^85062144 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 85062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

85062144 is an abundant number, since it is smaller than the sum of its proper divisors (144744576).

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

85062144 is an equidigital number, since it uses as much as digits as its factorization.

85062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85062144 is about 9222.9140731116. The cubic root of 85062144 is about 439.7900927146.

The spelling of 85062144 in words is "eighty-five million, sixty-two thousand, one hundred forty-four".