8505684 has 72 divisors (see below), whose sum is σ = 24006528. Its totient is φ = 2517120.

The previous prime is 8505667. The next prime is 8505691. The reversal of 8505684 is 4865058.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18384 + ... + 18840.

It is an arithmetic number, because the mean of its divisors is an integer number (333424).

Almost surely, 2^8505684 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 8505684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003264).

8505684 is an abundant number, since it is smaller than the sum of its proper divisors (15500844).

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

8505684 is a wasteful number, since it uses less digits than its factorization.

8505684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

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

The square root of 8505684 is about 2916.4505824718. The cubic root of 8505684 is about 204.1282354060.

The spelling of 8505684 in words is "eight million, five hundred five thousand, six hundred eighty-four".