85078144 has 32 divisors (see below), whose sum is σ = 172703340. Its totient is φ = 41733120.

The previous prime is 85078139. The next prime is 85078151. The reversal of 85078144 is 44187058.

It can be written as a sum of positive squares in 2 ways, for example, as 76737600 + 8340544 = 8760^2 + 2888^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514 + ... + 13054.

Almost surely, 2^85078144 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 85078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351670).

85078144 is an abundant number, since it is smaller than the sum of its proper divisors (87625196).

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

85078144 is a wasteful number, since it uses less digits than its factorization.

85078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12596 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 85078144 is about 9223.7814371330. The cubic root of 85078144 is about 439.8176654985.

The spelling of 85078144 in words is "eighty-five million, seventy-eight thousand, one hundred forty-four".