85684680 has 96 divisors (see below), whose sum is σ = 293155200. Its totient is φ = 21644928.

The previous prime is 85684657. The next prime is 85684721. The reversal of 85684680 is 8648658.

85684680 is a `hidden beast` number, since 8 + 568 + 4 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 577 + ... + 13103.

It is an arithmetic number, because the mean of its divisors is an integer number (3053700).

Almost surely, 2^85684680 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 85684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146577600).

85684680 is an abundant number, since it is smaller than the sum of its proper divisors (207470520).

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

85684680 is a wasteful number, since it uses less digits than its factorization.

85684680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563 (or 12556 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 85684680 is about 9256.6019683251. The cubic root of 85684680 is about 440.8603688936.

The spelling of 85684680 in words is "eighty-five million, six hundred eighty-four thousand, six hundred eighty".