85216144 has 20 divisors (see below), whose sum is σ = 177807196. Its totient is φ = 39330432.

The previous prime is 85216133. The next prime is 85216151. The reversal of 85216144 is 44161258.

It can be written as a sum of positive squares in 2 ways, for example, as 4000000 + 81216144 = 2000^2 + 9012^2 .

It is a super-3 number, since 3×85216144³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204639 + ... + 205054.

Almost surely, 2^85216144 is an apocalyptic number.

It is an amenable number.

85216144 is an abundant number, since it is smaller than the sum of its proper divisors (92591052).

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

85216144 is a wasteful number, since it uses less digits than its factorization.

85216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409714 (or 409708 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 85216144 is about 9231.2590690544. The cubic root of 85216144 is about 440.0553373927.

The spelling of 85216144 in words is "eighty-five million, two hundred sixteen thousand, one hundred forty-four".