85668144 has 20 divisors (see below), whose sum is σ = 221309496. Its totient is φ = 28556032.

The previous prime is 85668133. The next prime is 85668181. The reversal of 85668144 is 44186658.

It is a junction number, because it is equal to n+sod(n) for n = 85668096 and 85668105.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 892329 + ... + 892424.

Almost surely, 2^85668144 is an apocalyptic number.

It is an amenable number.

85668144 is an abundant number, since it is smaller than the sum of its proper divisors (135641352).

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

85668144 is a wasteful number, since it uses less digits than its factorization.

85668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784764 (or 1784758 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 85668144 is about 9255.7087248897. The cubic root of 85668144 is about 440.8320070127.

The spelling of 85668144 in words is "eighty-five million, six hundred sixty-eight thousand, one hundred forty-four".