85397184 has 84 divisors (see below), whose sum is σ = 251453904. Its totient is φ = 27689472.

The previous prime is 85397177. The next prime is 85397201. The reversal of 85397184 is 48179358.

85397184 is a `hidden beast` number, since 85 + 397 + 184 = 666.

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 11 ways as a sum of consecutive naturals, for example, 19309 + ... + 23315.

Almost surely, 2^85397184 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 85397184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125726952).

85397184 is an abundant number, since it is smaller than the sum of its proper divisors (166056720).

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

85397184 is a wasteful number, since it uses less digits than its factorization.

85397184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4049 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 85397184 is about 9241.0596794956. The cubic root of 85397184 is about 440.3667465679.

The spelling of 85397184 in words is "eighty-five million, three hundred ninety-seven thousand, one hundred eighty-four".