85186224 has 60 divisors (see below), whose sum is σ = 246636000. Its totient is φ = 27414912.

The previous prime is 85186217. The next prime is 85186237. The reversal of 85186224 is 42268158.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6024 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2^85186224 is an apocalyptic number.

It is an amenable number.

85186224 is an abundant number, since it is smaller than the sum of its proper divisors (161449776).

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

85186224 is a wasteful number, since it uses less digits than its factorization.

85186224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20442 (or 20433 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 85186224 is about 9229.6383461109. The cubic root of 85186224 is about 440.0038291678.

The spelling of 85186224 in words is "eighty-five million, one hundred eighty-six thousand, two hundred twenty-four".