85649184 has 48 divisors (see below), whose sum is σ = 249812640. Its totient is φ = 28549440.

The previous prime is 85649167. The next prime is 85649197. The reversal of 85649184 is 48194658.

85649184 is a `hidden beast` number, since 8 + 564 + 9 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48702 + ... + 50429.

It is an arithmetic number, because the mean of its divisors is an integer number (5204430).

Almost surely, 2^85649184 is an apocalyptic number.

It is an amenable number.

85649184 is an abundant number, since it is smaller than the sum of its proper divisors (164163456).

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

85649184 is a wasteful number, since it uses less digits than its factorization.

85649184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99150 (or 99136 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85649184 is about 9254.6844354629. The cubic root of 85649184 is about 440.7994830929.

The spelling of 85649184 in words is "eighty-five million, six hundred forty-nine thousand, one hundred eighty-four".