84560085 has 32 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 43541568.

The previous prime is 84559991. The next prime is 84560101. The reversal of 84560085 is 58006548.

It is a happy number.

84560085 is a `hidden beast` number, since 8 + 45 + 600 + 8 + 5 = 666.

It is not a de Polignac number, because 84560085 - 2¹⁰ = 84559061 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6885 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (4860000).

Almost surely, 2^84560085 is an apocalyptic number.

It is an amenable number.

84560085 is a deficient number, since it is larger than the sum of its proper divisors (70959915).

84560085 is a wasteful number, since it uses less digits than its factorization.

84560085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21642 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 84560085 is about 9195.6557678069. The cubic root of 84560085 is about 438.9231327824.

The spelling of 84560085 in words is "eighty-four million, five hundred sixty thousand, eighty-five".