85618144 has 24 divisors (see below), whose sum is σ = 175890960. Its totient is φ = 40947456.

The previous prime is 85618133. The next prime is 85618147. The reversal of 85618144 is 44181658.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85618147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57429 + ... + 58900.

It is an arithmetic number, because the mean of its divisors is an integer number (7328790).

Almost surely, 2^85618144 is an apocalyptic number.

It is an amenable number.

85618144 is an abundant number, since it is smaller than the sum of its proper divisors (90272816).

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

85618144 is a wasteful number, since it uses less digits than its factorization.

85618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116362 (or 116354 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 85618144 is about 9253.0072949285. The cubic root of 85618144 is about 440.7462268192.

The spelling of 85618144 in words is "eighty-five million, six hundred eighteen thousand, one hundred forty-four".